Dragan S. Djordjević

LIST OF PUBLICATIONS


Books:

 

1.      Dragan S. Djordjević:  Mathematics II for physists, part one, University of Niš, Faculty of Sciences and Mathematics,  Niš, 2004. (in Serbian)

2.      Dragan S. Djordjević, Vladimir Rakočević: Lectures on generalized inverses, University of Niš, Faculty of Sciences and Mathematics, Niš, 2008.

3.      Dijana Mosić, Dragan S. Đorđević, Finite dimensional vector spaces: collected exercises, University of Niš, Faculty of Sciences and Mathematics, Niš, 2017.  

 

Papers:

 

 

1.      Dragan S. DjordjevićRegular and T-Fredholm elements in Banach algebras, Publ. Math. Inst. (Belgrade) 56 (70) (1994), 90-94.   

2.      Slaviša V. Djordjević,  Dragan S. Djordjević,  Weyl's theorems: continuity of the spectrum and quasihyponormal operators, Acta Sci. Math. (Szeged)  64 (1-2) (1998), 259-269.

3.      Dragan S. Djordjević, Predrag S. Stanimirović, Universal iterative methods for computing generalized inverses, Acta Math. Hungarica  79 (3) (1998), 253-268. 

4.      Dragan S. Djordjević,  Operators obeying a-Weyl's theorem, Publ. Math. Debrecen  55 (3-4) (1999), 283-298. 

5.      Dragan S. Djordjević, Slavisa V. Djordjević,  On a-Weyl's theorem, Rev. Roum. Math. Pures Appl. 44 (3) (1999), 361-369.  

6.      Dragan S. Djordjević, Predrag S. Stanimirović,  General representations of pseudoinverses, Matematički Vesnik (Belgrade) 51 (3-4) (1999), 69-76. 

7.      Predrag S. Stanimirović,  Dragan S. Djordjević,  Full-rank and determinantal representation of the Drazin inverse, Linear Algebra Appl.  311 (1-3) (2000), 131-151.

8.      Dragan S. Djordjević, Predrag S. Stanimirović, Applications of the Groetsch theorem, Indian J. Pure Appl. Math. 31 (3) (2000), 277-286.  

9.      Dragan S. Djordjević, Products of EP operators on Hilbert spaces, Proc. Amer. Math. Soc. 129 (6) (2001), 1727-1731. 

10.  Predrag S. Stanimirović, Dragan S. Djordjević, New type of matrix splitting and its applications, Acta Math. Hungarica 92 (1-2) (2001), 121-135. 

11.  Dragan S. Djordjević, Predrag S. Stanimirović, Splittings of operators and generalized inverses, Publ. Math. Debrecen 59 (1-2) (2001), 147-159. 

12.  Dragan S. Djordjević, Predrag S. Stanimirović, On the generalized Drazin inverse and generalized resolvent, Czechoslovak Math. J. 51 (3) (2001), 617-634 .

13.  Dragan S. Djordjević,  Unified approach to the reverse order rule for generalized inverses, Acta Sci. Math. (Szeged) 67 (3-4) (2001), 761--776. 

14.  Dragan S. Djordjević, Semi-Browder essential spectra of quasisimilar operators, Novi Sad J. Math. 31 (2) (2001), 115--124.  

15.  Dragan S. Djordjević,  On generalized Weyl operators, Proc. Amer. Math. Soc. 130 (1) (2002), 81-84.  

16.  Dragan S. Djordjević,  Perturbations of spectra of operator matrices, J. Operator Theory 48 (3) (2002), 467--486. 

17.  Dragan S. Djordjević, Yimin Wei, Additive results for the generalized Drazin inverse, J. Australian Math. Soc. 73 (1) (2002), 115-125.   

18.  Yimin Wei, Dragan S. Djordjević, On integral representation of the generalized inverse A_{T,S}^{(2)}, Applied Math. Comput. 142 (1) (2003), 189-194. 

19.  Dragan S. Djordjević,  Operators consistent in regularity, Publ. Math. Debrecen 63 (1-2) (2003), 175–191. 

20.  Dragan S. Djordjević, On Davis-Kahan-Weinberger extension theorem, Mat. Vesnik (Belgrade) 54 (3-4) (2002), 83-88. 

21.  Dragan S. Djordjević, Yimin Wei, Operators with equal projections related to their generalized inverses, Appl. Math. Comput. 155 (3) (2004), 655-664.  

22.  Yimin Wei, Dragan S. Djordjević, Predrag S. Stanimirović, The representation and approximation of outer generalized inverses, Acta Math. Hungarica  104 (1-2) (2004), 1--26.  

23.  Dragana Cvetković-Ilić, Dragan S. Djordjević, Vladimir Rakocević, Schur complement in C*-algebras, Math. Nachrichten. 278 (7-8) (2005), 808--814.   

24.  Dragan S. Djordjević, Predrag S. Stanimirović, Iterative methods for computing generalized inverses related with optimisation methods, J. Australian Math. Soc. 78 (2) (2005), 257--272. 

25.  Dragan S. Djordjević, Yimin Wei, Outer generalized inverses in rings, Comm. Algebra 33 (9) (2005), 3051--3060. 

26.  Robin Harte, Dragan S. Djordjević, Cora Stack, On left-right consistency in rings, Math. Proc. R. Ir. Acad. 106A (1) (2006), 11-17.  

27.  Dragana Cvetković Ilić, Dragan S. Djordjević, Yimin Wei, Additive results for the generalized Drazin inverse in a Banach algebra, Linear Algebra Appl. 418 (1)  (2006), 53-61.  

28.  Dragan S. Djordjević, Explicit solution of the operator equation A*X+X*A=B, J. Comput. Appl. Math. 200 (2) (2007), 701-704.  

29.  Dragan S. Djordjević, Characerizations of normal, hyponormal and EP operators, J. Math. Anal. Appl. 329 (2) (2007), 1181-1190.  

30.  Dragan S. Djordjević, Iterative methods for computing generalized inverses, Appl. Math. Comput.  189 (1)  (2007), 101-104. 

31.  Dragan S. Djordjević, J. J. Koliha, Characterizing hermitian, normal and EP operators, Filomat, 21:1 (2007), 39-54.

32.  Dragan S. Djordjević, Further results on the reverse order law for generalized inverses, SIAM J. Matrix Anal. Appl. 29 (4) (2007), 1242-1246.  

33.  J. J. Koliha, Dragan S. Djordjević, Dragana Cvetković Ilić, Moore-Penrose inverse in rings with involution, Linear Algebra Appl. 426 (2-3) (2007), 371-381. 

34.  Dijana Mosić, Dragan S. Djordjević, Condition number of the W–weighted Drazin inverse, Appl. Math. Comput. 203 (1) (2008), 308-318

35.  Biljana Načevska, Dragan S. Djordjević, Outer generalized inverses in rings and related idempotents, Publ. Math. Debrecen 73 (3-4) (2008), 309-316.

36.  Dragan S. Djordjević, J. J. Koliha, I. Straskraba,  Factorization of EP elements of C*-algebras, Linear & Multilinear Algebra  57 (6) (2009), 587-594. 

37.  Dijana Mosić, Dragan S. Djordjević, J. J. Koliha, EP elements in rings, Linear Algebra Appl. 431 (5-7) (2009), 527-535.  

38.  Dijana Mosić, Dragan S. Djordjevic, Moore-Penrose invertible normal and Hermitian elements in rings, Linear Algebra Appl. 431 (5-7) (2009), 732-745.  

39.  Dijana Mosić, Dragan S. Djrodjević,  Condition number related to the outer inverse of a complex matrix, Applied Mat. Comput. 215 (8) (2009), 2826-2834. 

40.  Dijana Mosić and Dragan S. Djordjević, Partial isometries and EP elements in rings with involution, Electronic J. Linear Algebra 18 (2009), 761-772.  

41.  Dragan S. Djordjević, Nebojša Č. Dinčić, Reverse order law for the Moore-Penrose inverse, J. Math. Anal. Appl.  361 (1) (2010), 252-261.  

42.  Dijana Mosić, Dragan S. Djordjević, Additive results for the Wg-Drazin inverse, Linear Algebra Appl. 432 (11)  (2010), 2847-2860.  

43.  Biljana Načevska, Dragan S. Djordjević, Inner generalized inverses with prescribed idempotents, Comm. Algebra 39 (2) (2011), 634-646.   

44.  Snežana Živković Zlatanović, Dragan S. Djordjević, Robin E. Harte, Left-right Browder and left-right Fredholm operators, Integral Equations Operator Th. 69 (3) (2011), 347-363.  

45.  Dragan S. Djordjević, Robin E. Harte, Cora Stack, Left-right consistency in rings III, Quaestiones Math. 34 (3) (2011), 335-339. 

46.  Dijana Mosić, Dragan S. Djordjević, EP elements in Banach algebras, Banach J. Math. Anal. 5 (2) (2011), 25-32.  

47.  Snežana Živković-Zlatanović, Dragan S. Djordjević, Robin E. Harte, On left and right Browder operators, J. Korean Math. Soc. 48 (5) (2011), 1053-1063. 

48.  Dragan S. Djordjević, Outer generalized inverses of centralizers over semiprime rings, Funct. Anal. Approx. Comput. 3:1 (2011), 19-22. 

49.  Dijana Mosić, Dragan S. Djordjević, Reverse order law for the Moore-Penrose inverse in C*-algebras, Electronic J. Linear Algebra 22 (2011), 92-111. 

50.  Dijana Mosić, Dragan S. Djordjević, Further results on partial isometries and EP elements in rings with involution, Math. Comput. Modelling 54 (1-2) (2011), 460-465. 

51.  Nebojša Č. Dinčić, Dragan S. Djordjević, Dijana Mosić, Mixed-type reverse order law and its equivalencies, Studia Math. 204 (2) (2011), 123-136. 

52.  Dijana Mosić, Dragan S. Djordjević, Partial isometries and EP elements in Banach algebras, Abstract Appl. Anal. vol 2011 (2011)‚, Article ID 540212, 9 pages

53.  Nebojša Č. Dinčić, Dragan S. Djordjević, Mixed-type reverse order law for products of three operators, Linear Algebra Appl. 435 (11) (2011), 2658-2673. 

54.  Dijana Mosić, Dragan S. Djordjević, Idempotents related to the weighted Moore-Penrose inverse, Funct. Anal. Approx. Comput. 3:1 (2011), 45-52. 

55.  Dijana Mosić, Dragan S. Djordjević, Further results on the reverse order law for the Moore-Penrose inverse in rings with involution, Applied Math. Comput. 218 (4) (2011), 1478-1483.       

56.  Dijana Mosić, Dragan S. Djordjević, Weighted EP elements in C*-algebras, Electronic J. Linear Algebra 22 (2011), 912-930.    

57.  Dijana Mosić, Dragan S. Djordjević, Reverse order law in C*-algebras, Applied Math. Comput. 218 (7) (2011),  3934-3941.  

58.  Dragan S. Djordjević, Snežana Živković Zlatanović, Robin E. Harte, Spectral permanence for the Moore-Penrose inverse, Proc. Amer. Math. Soc. 140 (9) (2012), 3237-3245.

59.  Dragan S. Djordjević, Milica Z. Kolundžija, Generalized invertibility of operator matrices, Arkiv Matematik  50 (2) (2012), 259-267. 

60.  Dijana Mosić, Dragan S. Djordjević, Factorization of weighted-EP elements in C*-algebras, Applied Math. Comput. 218 (9) (2012), 5383-5390.  

61.  Dijana Mosić, Dragan S. Djordjević, New characterizations of EP, generalized normal and generalized Hermitian elements in rings, Applied Math. Comput.  218 (12) (2012),  6702-6710.    

62.  Snežana Živković Zlatanović, Dragan S. Djordjević, Robin E. Harte,  Ruston, Riesz and perturbation classes, J. Math. Anal. Appl. 389 (2) (2012), 871-886.  

63.  Dijana Mosić, Dragan S. Djordjević, Some results on the reverse order law in rings with involutions, Aequationes Math. 83 (3) (2012), 271-282.  

64.  Dragan S. Djordjević, Snežana Č. Živković Zlatanović, Robin E. Harte, Fredholm theory in irreducible C*-algebras, Funct. Anal. Approx. Comput. 4:1 (2012), 39-44.  

65.  Dijana Mosić, Dragan S. Djordjević, Representation of the generalized Drazin inverse of block matrices in Banach algebras, Applied Math. Comput.  218 (24) (2012), 12001-12007.  

66.  Ivana M. Radojević, Dragan S. Djordjević, Quasihyponormal and strongly hyponormal matrices in inner product spaces, Electronic. J. Linear Algebra  23 (2012), 1023-1039.  

67.  Dragan Rakić,  Dragan S. Djordjević, Space pre-order and minus partial order for operators on Banach spaces, Aequationes Math. 85 (3) (2013), 429-448.   

68.  B. P. Duggal, D. S. Djordjević, Robin E. Harte, Consistent in invertibility operators and SVEP, Filomat 27 (5) (2013), 767-776.  

69.  Nebojša Č. Dinčić, Dragan S. Djordjević, Basic reverse order law and its equivalencies, Aequationes Math. 85 (3) (2013), 505-517.  

70.  Dijana Mosić, Dragan S. Djordjević, Reverse order law for the group inverse in rings,  Appl. Math. Comput.  219 (5) (2012), 2526-2534.  

71.  Dijana Mosić, Dragan S. Djordjević, Mixed-type reverse order laws for generalized inverses in rings with involution, Publicationes Mathematicae Debrecen 82 (3-4) (2013), 641-650. 

72.  Dragan S. Djordjević, Milica Z. Kolundžija, Right and left Fredholm operator matrices, Bull. Korean Math. Soc. 50 (3) (2013), 1021–1027.

73.  Sladjana Miljković, Marko Miladinović, Predrag Stanimirović, Dragan S. Djordjević, Scalar correction method for finding least-squares solutions on Hilbert spaces and its applications, Appl. Math.Comput. 219 (18) (2013), 9639-9651. 

74.  Enrico Boasso, Dragan S. Djordjević, Dijana Mosić, Weighted Moore-Pernose inverse invertible and weighted EP Banach algebra elements, J. Korean Math. Soc. 50 (6)  (2013), 1349-1367. 

75.  Dijana Mosić, Dragan S. Djordjević, Further results on the reverse order law for the group inverse in rings, Applied Math. Comput. 219 (19) (2013), 9971-9977.  

76.  Nebojša Č. Dinčić, Dragan S. Djordjević, Identitites concerning the reverse order law for the Moore-Penrose inverse, Applied Math. Comput.  220 (1) (2013), 439-445.   

77.  Snežana Živković Zlatanović, Dragan S. Djordjević, Robin E. Harte, Polinomialy Riesz perturbations, J. Math. Anal. Appl.  408 (2) (2013), 442-451.

78.  Dijana Mosić, Dragan S. Djordjević, Several expressions for the generalized Drazin inverse of a block matrix in a Banach algebra, Applied Math. Comput. 220 (1) (2013), 374-381.

79.  Sonja Radosavljević, Dragan S. Djordjević, On pairs of generalized and hypergeneralized projections in a Hilbert space, Funct. Anal. Approx. Comput. 5 (2) (2013), 67-75.   

80.  Dijana Mosić, Dragan S. Djordjević, Reverse order laws in rings with involution, Rocky Mountain J. Math. 44 (4) (2014), 1301-1319. 

81.  Nebojša Č. Dinčić, Dragan S. Djordjević, Hartwig's triple reverse order law revisited, Linear Multilinear Algebra 62 (7) (2014), 918-924.  

82.  Snežana Č. Živković Zlatanović, Dragan S. Djordjević, Robin E. Harte, Bhagwatti P. Duggal, On polynomialy Riesz operators, Filomat 28 (1) (2014), 197-205.

83.  Dijana Mosić, Dragan S. Djordjević, Formulae for the generalized Drazin inverse of a block matrix in terms of Banachiewicz--Schur forms, J. Math. Anal. Appl. 413 (1)  (2014), 114-120.  

84.  Dijana Mosić, Dragan S. Djordjević, Gabriel Kantun-MontielImage-kernel (P,Q)-inverses in rings, Electronic J. Linear Algebra 27 (2014), 272-283. 

85.  Dijana Mosić, Dragan S. Djordjević, Inner image-kernel (p,q)-inverses in rings, Appl. Math. Comput. 239 (15) (2014), 144-152.  

86.  Dragan Rakić, Nebojša Č. Dinčić, Dragan S. Djordjević, Core inverse and core partial order of Hilbert space operators,  Appl. Math. Comput.  244 (1)  (2014), 283-302.  

87.  Dragan S. Rakić, Nebojša Č. Dinčić, Dragan S. Djordjević, Group, Moore-Penrose, core and dual core inverse in rings with involution, Linear Algebra Appl. 463 (2014), 115-133. 

88.  Dragan S. Djordjević, Reverse order law for the Moore-Penrose inverse of closed-range adjointable operators on Hilbert C*-modules,  Matematički Bilten 38 (LXIV) no. 2 (2014), 5-11.

89.  Milica Z. Kolundžija, Dijana Mosić, Dragan S. Djordjević, Further results on the generalized Drazin inverse of block matrices in Banach algebras, Bull. Malaysian Math. Sci. Soc. 38 (2) (2015), 483-498.  

90.  Janko Marovt, Dragan S. Rakić, Dragan S. Djordjević, Star, left-star, and right-star partial orders in Rickart *-rings, Linear Multilinear Algebra 63 (2) (2015), 343-365.   

91.  Enrico Boasso, Dragan S. Djordjević, Dijana Mosić, Factorization of weighted EP Banach space operators and Banach algebra elements, Banach J. Math. Anal. 9 (3) (2015) 114-127. 

92.  Milica Z. Kolundžija, Dijana Mosić, Dragan S. Djordjević, Generalized Drazin inverse of certain block matrices in Banach algebras, Bull. Iranian Math. Soc. 41(3) (2015) 529-542. 

93.  Snežana Č. Živković Zlatanović, Miloš Cvetković, Dragan S. Djordjević, On closed upper and  lower semi-Browder operators, Mediterranean J.  Math. 12 (3) (2015), 1033-1045.  

94.  Dijana Mosić and Dragan S. Djordjević, The reverse order law (ab)^#=b^\dag(a^\dag abb^\dag)^\dag a^\dag in rings with involution, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 109(2) (2015) 257-265. 

95.  Dragan S. Djordjević, Robin E. Harte, Snežana Živković Zlatanović, On simple permanence, Quaestiones Math. 38 (4) (2015), 515-528. 

96.  Dragan S. Rakić, Dragan S. Djordjević, Partial orders in rings based on generalized inverses – unified theory, Linear Algebra Appl. 471 (2015), 203-223.

97.  Dragan S. Rakić, Dragan S. Djordjević,  Star, sharp, core and dual core partial order in rings with involution, Appl. Math. Comput. 259 (2015), 800-818. 

98.  Dragan  S. Djordjević, B.P. Duggal,  Snežana Č. Živković ZlatanovićPerturbations, quasinilpotent equivalence and communicating operators, Proc. R. Ir. Acad. 115A (1) (2015), 14pp.

99.  Dijana Mosić and Dragan S. Djordjević, Weighted partial isometries andweighted--EP elements in C^*-algebra, Applied Math. Comput. 265 (2015) 17–30.  

100.                      Dragan S. Djordjević, Dragan S. Rakić and Janko Marovt Minus partial order in Rickart rings, Publ. Math. Debrecen  87(3-4) (2015) 291-305. 

101.                      Dijana Mosić, Dragan S. Djordjević: Weighted pre-orders involving the generalized Drazin inverse, Applied Math. Comput. 270 (2015), 496-504.    

102.                      Dijana Mosić, Dragan S. Djordjević: Some additive results for the Wg-Drazin inverse of Banach space operators, Carpathian J. Math. 32 (2) (2016), 215-223. 

103.                      Dijana Mosić,  Dragan S. Djordjević, Mixed-type reverse order laws for the group inverses in rings with involution, Studia Sci. Math. Hungar. 53 (3) (2016), 138-156. 

104.                      Mehdi Mohammadzadeh Karizaki,  Dragan S. Djordjević: Solutions to some solvable modular operator equations, Funct. Anal. Appprox. Comput. 8 (1) (2016), 7-13.

105.                      Dijana Mosić and Dragan S. Djordjević,  Weighted generalized Drazin inverse in rings, Georgian Math. J. 23 (4)  (2016), 587-594. 

106.                      Mehdi Mohammadzadeh Karizaki,  Dragan S. Djordjević:   Commuting C* modular operators, Aequationes Math. 90 (6) (2016), 1103-1114. 

107.                      Mehdi Mohammadzadeh Karizaki,  Mahmoud Hassani, Dragan S. Djordjević:  The solution to the operator equation TXS*-SX*T*=A in Hilbert C*-modules, International Journal of

108.                       Nonlinear Analysis and Applications  7 (2) (2016), 127-132.

109.                        

 

110.                      Martin Ljubenović and Dragan S. Djordjević:  Linear preservers of weak majorization on lp(I)+, when pϵ(1,∞),  Linear Algebra Appl. 497 (2016), 181-198.

111.                      Marko S. Djikić and Dragan S. Djordjević. Coherent and precoherent elements in Rickart *-rings. Linear Algebra Appl. 509 (2016), 64-81.

112.                      Ivana M. Radojević, Dragan S. Djordjević, Moore-Penrose inverse in indefinite inner product spaces, Filomat 31 (12) (2017), 3847-3857.

113.                      Dijana Mosić, Dragan S. DjordjevićWeighted reverse order law for the weighted Moore-Penrose inverse in rings with involution,  Analele Stintifice Ale Universitatii Al. I. Cuza. Matematica  f. 1, tomul LXIII (2017), p. 44.

114.                      Martin Ljubenović and Dragan S. Djordjević:  Linear preservers of weak majorization on l1(I)+, when I is an infinite set, Linear Algebra Appl. 517 (2017), 177-198.

115.                      Martin Ljubenović and Dragan S. Djordjević:  Weak supermajorization and families as doubly superstochastic operators on ℓp(I), Linear Algebra Appl. 532 (2017), 312-346.

116.                      Dijana Mosić, Dragan S. Djordjević, The gDMP inverse of Hilbert space operators, J. Spectr. Theory 8 (2) (2018), 555-573.

117.                      Nadica Milenković, Dragan S. Djordjević, On core inverse, Appl. Math. Comp. Sci. 3 (1) (2018), 1-4.

118.                      Dijana Mosić, Dragan S. Djordjević, Block representations of the generalized Drazin inverse, Appl. Math. Comput. 331 (2018), 200-209.

119.                      Dragan Rakić, Dragan S. Djordjević, A note on topological direct sum of subspaces, Funct. Anal. Approx. Comput. 10 (1) (2018), 9-20.

120.                      Martin Ljubenović, Dragan S. Djordjević, Bounded linear operators that preserve the weak supermajorization on 1(I)+, when I is an infinite set, Electronic J. Linear Algebra 34 (2018), 407-427.

121.                      Dijana Mosić, Dragan S. Djordjević, Weighted outer inverse, Monatsh. Math. 188 (2) (2019), 297-307.

122.                      Nadica Mihajlović, Dragan S. Djordjević, On group inveritibility in rings, Filomat 33 (19) (2019), 6141-6150.

123.                      Dragan S. Djordjevic, Algebrac distance between submoduleas, Bulletin T.CLII de l’Acad´emie serbe des sciences et des arts – 2019, Classe des Sciences math´ematiques et naturelles, Sciences mathematiques, No 44.

124.                      Dragan S. Djordjević, Frechet derivative and analytic functional calculus, Bull. Malaysian Math. Sci. Soc. 43 (2), (2020), 1205-1212.

125.                      Dragan S. Djordjević, Muneo Cho, Dijana Mosić, Polynomially normal operators, Annals of Functional Analysis, 11 (3) (2020) str. 493-504.

126.                      Martin Ljubenović, Dragan Rakić, Dragan S. Djordjević, Linear preservers of DSS-weak majorization on discrete Lebesgue space l1(I), when I is an infinite set, Linear Multilinear Algebra      https://doi.org/10.1080/03081087.2019.1691970

127.                      M. Mohammadzadeh Karizaki, D. S. Djordjević, A. Hosseini, M. Jalaeian, Some results about EP modular operators, Linear Multilinear Algebra https://doi.org/10.1080/03081087.2020.1844613

 

 

Citations (March 8, 2021)

Scopus: 1052 citations, h-index = 18

Math. Sci. Net: 1050 citations, h-index = 18