Recent publications:    


Accepted for publication

  1. Dragana Cvetkovic-Ilic, Alegra Dajic and J. J. Koliha, Positive and real-positive solutions to the equation axa = c in C*-algebras, Linear and Multilinear Algebra 55 (2007), 535-543 PDF
  2. Dragan Djordjevic and J. J. Koliha, Characterizations of Hermitian, normal and EP operators, Filomat 21 (2007), 39-54

  3. J. J. Koliha, Dragan Djordjevic and Dragana Cvetkovic, Moore-Penrose inverse in rings with involution, Linear Algebra and its Applications 426 (2007), 371-381
  4. Alegra Dajic and J. J. Koliha, The weighted g-Drazin inverse for operators, Journal of the Australian Mathematical Society 82 (2007), 163-181 PDF (corrected printing)

  5. Alegra Dajic and J. J. Koliha, The sigma-g-Drazin inverse and the generalized Mbhekta decomposition, Integral Equations and Operator Theory 57 (2007), 309-326 PDF

  6. Alegra Dajic and J. J. Koliha, Positive solutions to the equations AX=C and XB=D for Hilbert space operators, Journal of Mathematical Analysis and Applications, 333 (2007), 567-576 PDF

  7. J. J. Koliha and V. Rakocevic, Stability theorems for linear combinations of idempotents, Integral Equations and Operator Theory 58 (2007), 597-601 PDF
  8. J. J. Koliha and V. Rakocevic, Range projections and the Moore-Penrose inverse in rings with involution, Linear and Multilinear Algebra 55 (2007), 103-112 PDF

  9. J. J. Koliha and Peng Zhang, Rolle to Cauchy, Gazette of the Australian Mathematical Society 34 (2007), 210-211 PDF



    2006
  10. J. J. Koliha, Fundamental theorem of calculus for Lebesgue integration, American Mathematical Monthly 113 (2006), 551-555 PDF
  11. J. J. Koliha and V. Rakocevic, The nullity and rank of linear combinations of idempotent matrices, Linear Algebra and its Applications 418 (2006), 11-14 PDF

  12. Alegra Dajic and J. J. Koliha, The weighted g-Drazin inverse for operators, Journal of the Australian Mathematical Society 81 (2006), 405-424 PDF



    2005
  13. J. J. Koliha and V. Rakocevic, Differentiability of the g-Drazin inverse, Studia Mathematica 168 (2005), 193-201 PDF
  14. J. J. Koliha and V. Rakocevic, Fredholm properties of the difference of orthogonal projections in a Hilbert space, Integral Equations and Operator Theory 52 (2005), 125-134 PDF
  15. J. J. Koliha and V. Rakocevic, Holomorphic and meromorphic properties of the g-Drazin inverse, Demonstratio Mathematica 38 (2005), 657-666 PDF
  16. J. J. Koliha and T. D. Tran, Singularly perturbed C0-semigroups and nonhomogeneous differential equations, Journal of Operator Theory 54 (2005), 363-377  PDF


    2004
  17. N. Castro-Gonzalez and J. J. Koliha, New additive properties of the g-Drazin inverse, Proceedings of the Royal Society of Edinburgh  134A (2004), 1085-1097 DVI PDF

  18. J. J. Koliha and V. Rakocevic, On the norm of idempotents in C*-algebras, Rocky Mountain Journal of Mathematics 34 (2004), 685-697   DVI  PDF
  19. J. J. Koliha, V. Rakocevic and I. Straskraba, The difference and sum of projectors, Linear Algebra and its Applications 388 (2004), 279-288 DVI PDF
  20. G. D. Handley, J. J. Koliha and J. Pecaric, Hilbert-Pachpatte type multidimensional integral inequalities, Journal of Inequalities in Pure and Applied Mathematics  5 (2004), article 34 (electronic) DVI PDF
  21. J. J. Koliha, Approximation of convex functions, Real Analysis Exchange  29 (2003/2004), 465-471 DVI PDF
  22. N. Castro-Gonzalez, J. J. Koliha and Yimin Wei, Integral representations of the g-Drazin inverse in C*-algebras, Mathematica Bohemica  129 (2004), 71-77  DVI PDF
  23. G. D. Handley, J. J. Koliha and J. Pecaric, Hardy's discrete inequality, Mathematical Inequalities and Applications   7 (2004), 187--197 DVI PDF



    2003
  24. J. J. Koliha, Lebesgue through Newton integral, The Australian Mathematical Society Gazette  30 (2003), 261-264 DVI PDF
  25. J. J. Koliha and Trung Dinh Tran, Closed semistable operators and singular differential equations, Czechoslovak Mathematical Journal  53 (128) (2003), 605-620  DVI  PDF
  26. M. Berkani and J. J. Koliha, Weyl type theorems for bounded linear operators, Acta Scientiarum Mathematicarum (Szeged) 69 (2003), 359-376 DVI PDF
  27. G. D. Handley, J. J. Koliha and J. Pecaric, Further integral inequalities related to Hardy's inequality, Archives of Inequalities and Applications  1 (2003), 41-52  DVI  PDF
  28. J. J. Koliha and V. Rakocevic, Invertibility of the difference of idempotents, Linear and Multilinear Algebra  51 (2003), 97-110  DVI  PDF
  29. K. Zitny, J. Kozanek and J. J. Koliha, Spectral theorem for normal matrices, The Australian Mathematical Society Gazette 30 (2003), 78-80  DVI PDF




    2002
  30. J. J. Koliha and V. Rakocevic, Invertibility of the sum of idempotents, Linear and Multilinear Algebra  50 (2002), 285-292 DVI  PDF
  31. N. Castro-Gonzalez, J. J. Koliha and Yimin Wei, Error bounds for perturbation of the Drazin inverse of closed operators with equal spectral idempotents, Applicable Analysis 81 (2002), 915--928  DVI  PDF  
  32. G. A. Anastassiou, J. J. Koliha and J. Pecaric, Opial type Lp-inequalities for fractional derivatives, International Journal of Mathematics and Mathematical Sciences 31 (2002), 85-95    DVI  PDF
  33. N. Castro-Gonzalez, J. J. Koliha and Yimin Wei, Integral representation of the Drazin inverse, Electronic Journal of Linear Algebra  9 (2002), 129-131  DVI  PDF
  34. N. Castro-Gonzalez, J. J. Koliha and V. Rakocevic, Continuity and general perturbation of the Drazin inverse for closed linear operators, Abstract and Applied Analysis 7 (2002), 335-347.   DVI  PDF
  35. N. Castro-Gonzalez, J. J. Koliha and Yimin Wei, Integral representations of the Drazin inverse in Banach algebras, Proceedings of the Edinburgh Mathematical Society 45 (2002), 327-331.   DVI PDF
  36. J. J. Koliha and J. Pecaric, Weighted Opial inequalities, Tamkang Journal of Mathematics 33 (2002), 93-102.   DVI  PDF
  37. J. J. Koliha, Error bounds for a general perturbation of the Drazin inverse, Applied Mathematics and Computation 126 (2002), 181-185.  DVI  PDF
  38. J. J. Koliha and Pedro Patricio, Elements of rings with equal spectral idempotents, Journal of the Australian Mathematical Society 72 (2002), 137-152.   DVI  PDF
  39. J. J. Koliha, Counterexamples in ergodic theory of equicontinuous semigroups of operators, Taiwanese Journal of Mathematics  6 (2002), 175-180.   DVI  PDF



    2001
  40. J. J. Koliha and T. D. Tran, The Drazin inverse for closed linear operators and the asymptotic convergence of C0-semigroups, Journal of Operator Theory 46 (2001),  323-336.   DVI  PDF
  41. G. A. Anastassiou, J. J. Koliha and J. Pecaric, Opial inequalities for fractional derivatives, Dynamic Systems and Applications 10 (2001), 395-406.  DVI  PDF
  42. N. Castro-Gonzalez, J. J. Koliha and I. Straskraba, Perturbation of the Drazin inverse, Soochow Journal of Mathematics 27 (2001), 201-211.   DVI  PDF
  43. J. J. Koliha, Range projections of idempotents in C*-algebras, Demonstratio Mathematica 34 (2001), 91-103.   DVI  PDF
  44. G. D. Handley, J. J. Koliha and J. Pecaric, Hilbert-Pachpatte type integral inequalities for fractional derivatives, Fractional Calculus and Applied Analysis  4 (2001), 37-46.    DVI  PDF
  45. G. D. Handley, J. J. Koliha and J. Pecaric, New Hilbert-Pachpatte integral inequalities, Journal of Mathematical Analysis and Applications 257 (2001), 238-250.    DVI  PDF
  46. J. J. Koliha, Block diagonalization, Mathematica Bohemica 126 (2001), 237-246.   DVI  PDF
  47. J. J. Koliha, On the continuity and differentiability of the Moore-Penrose inverse in C*-algebras, Mathematica Scandinavica 88 (2001), 154-160.    DVI  PDF



    2000
  48. S. S. Dragomir, J. J. Koliha and Y. J. Cho, On inequalities in normed linear spaces and applications, Studia Universitatis Babes-Bolyai, Mathematica 45 (2000), 11-16.   DVI  PDF
  49. G. D. Handley, J. J. Koliha and J. Pecaric, A Hilbert type inequality, Tamkang Journal of Mathematics 31 (2000), 311-315.   DVI  PDF  
  50. S. S. Dragomir and J. J. Koliha, Two mappings related to semi-inner products and their applications in geometry of normed spaces, Applications of Mathematics 45 (2000), 337-355.   DVI  PDF
  51. N. Castro-Gonzalez, J. J. Koliha and Y. Wei, Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero, Linear Algebra and its Applications 312 (2000), 181-189.   DVI  PDF
  52. J. J. Koliha, Elements of C*-algebras commuting with their Moore-Penrose inverse, Studia Mathematica 139 (2000), 81-90.   DVI   PDF
  53. S. S. Dragomir and J. J. Koliha, Mapping delta in normed linear spaces with applications to inequalities, Nonlinear Analysis 41 (2000), 205-220.    DVI  PDF
  54. N. Castro-Gonzalez and J. J. Koliha, Perturbation of the Drazin inverse for closed linear operators, Integral Equations and Operator Theory 36 (2000), 92-106.   DVI   PDF


    1999
  55. N. Castro-Gonzalez and J. J. Koliha, Semi-iterative methods for the Drazin inverse solution of linear equations in Banach spaces, Numerical Functional Analysis and Optimization 20 (1999), 405-418.   DVI  PDF
  56. J. J. Koliha, The Drazin and Moore-Penrose inverse in C*-algebras, Mathematical Proceedings of the Royal Irish Academy 99A (1999), 17-27.   DVI  PDF
  57. J. J. Koliha and T. D. Tran, Semistable operators and singularly perturbed differential equations, Journal of Mathematical Analysis and Applications 231 (1999), 446-458.   DVI  PDF
  58. J. J. Koliha, A simple proof of the product theorem for EP matrices, Linear Algebra and its Applications 294 (1999) 213-215.   DVI  PDF
  59. S. S. Dragomir and J. J. Koliha, Mapping Psi in normed linear spaces and its application to theory of inequalities, Mathematical Inequalities and Applications 2 (1999), 367-381.   DVI  PDF
  60. J. J. Koliha and I. Straskraba, Power bounded and exponentially bounded matrices, Applications of Mathematics 44 (1999), 289-308.   DVI   PDF


    1998
  61. J. J. Koliha and V. Rakocevic, Continuity of the Drazin inverse II, Studia Mathematica 131 (1998), 167-177.   DVI PDF
  62. J. J. Koliha and P. W. Poon, Spectral sets II, Rendiconti del Circolo Matematico di Palermo 47 (1998), 193-310.   DVI  PDF
  63. J. J. Koliha, M. Mbekhta, V. Muller and P. W. Poon, Corrigendum and addendum: "On the axiomatic theory of spectrum II", Studia Mathematica 130 (1998), 193-198.
  64. S. S. Dragomir and J. J. Koliha, The mapping nu in normed linear spaces with applications to inequalities in analysis, Journal of Inequalities and Applications 2 (1998), 37-55.


    1997
  65. J. J. Koliha and P. W. Poon, On West and Stampfli decomposition of operators, Acta Scientiarum Mathematicarum (Szeged) 63 (1997), 181-194.   DVI  PDF
  66. J. J. Koliha, Spectral sets, Studia Mathematica 123 (1997), 97-107.    DVI  PDF
  67. J. J. Koliha and I. Straskraba, Stabilization of solutions to a differential delay equation in a Banach space, Annales Polonici Mathematici 65 (1997), 271-281.
  68. J. J. Koliha and I. Straskraba, Stability in nonlinear evolution problems by means of fixed point theorems, Commentationes Mathematicae Universitatis Carolinae 39 (1997), 37-59.
  69. S. S. Dragomir and J. J. Koliha, Mappings Phi in normed linear spaces and new characterization of Birkhoff orthogonality, smoothness and best approximants, Soochow Journal of Mathematics 23 (1997), 227-239.
  70. S. S. Dragomir and J. J. Koliha, The mapping gamma in normed linear spaces and applications, Journal of Mathematical Analysis and Applications 210 (1997), 549-563.


    1996
  71. J. J. Koliha, Isolated spectral points, Proceedings of the American Mathematical Society 124 (1996), 3417-3424.  DVI  PDF
  72. J. J. Koliha, A generalized Drazin inverse, Glasgow Mathematical Journal 38 (1996), 367-381.   DVI  PDF