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A/PROF JERRY KOLIHA



Contact Details

Organization: Mathematics and Statistics
Position: ASSOCIATE PROFESSOR
Email:
Homepage: http://www.ms.unimelb.edu.au/Personnel/profile.php?PC_id=45
Work: 8344 9709
Mobile: 0438 040 139
Fax: 8344 4599
Room: 164
Level: 01
Building: Richard Berry Building
Campus: Parkville

Qualifications, Honours, Fellowships and Other Awards

Qualifications

Title Institution Date Awarded Abbreviation
Doctor of Philosophy University of Melbourne 31-Dec-1973
Magister Charles University in Prague 31-Dec-1968

Government Research Classifications

Research Fields, Courses and Discipline Classifications

Socio-Economic Objective Classifications

Publications

Publications produced at the University of Melbourne and reported in the Annual Publications Collection and 'Research Report' since 2001. The Themis Publications module, released in November 2006, allows additional publications from previous institutions and publications from past years to be entered.

Publications in 2007

Journal Articles

  • Stability theorems for linear combinations of idempotents


    Year: 2007
    Journal: Integral Equations and Operator Theory
    Volume: 58
    Issue: 4
    Page numbers: 597-601
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  • Characterizing Hermitian, normal and EP operators
    Year: 2007
    Journal: Filomat
    Volume: 21
    Issue: 1
    Page numbers: 39-54
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  • Positive and real-positive solutions to the equation axa* = c in C*-algebras
    Year: 2007
    Journal: Linear and Multilinear Algebra
    Volume: 55
    Issue: 6
    Page numbers: 535-543
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  • Positive solutions to the equations AX=C and XB=D for Hilbert space operators
    Year: 2007
    Journal: Journal of Mathematical Analysis and Applications
    Volume: 333
    Issue: 2
    Page numbers: 567-576
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  • Range projections and the Moore-Penrose inverse in rings with involution
    Year: 2007
    Journal: Linear and Multilinear Algebra
    Volume: 55
    Issue: 2
    Page numbers: 103-112
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  • The $\sigma g$-Drazin inverse and the generalized Mbekhta decomposition
    Year: 2007
    Journal: Integral Equations and Operator Theory
    Volume: 57
    Issue: 3
    Page numbers: 309-326
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  • The weighted $g$-Drazin inverse for operators
    Year: 2007
    Journal: Journal of the Australian Mathematical Society Series A - Pure Mathematics and Statistics
    Volume: 82
    Issue: 2
    Page numbers: 163-182
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Publications in 2006

Journal Articles

  • A fundamental theorem of calculus for Lebesgue integration
    Year: 2006
    Journal: American Mathematical Monthly
    Volume: 113
    Issue: 6
    Page numbers: 551-555
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  • The nullity and rank of linear combinations of idempotent matrices
    Year: 2006
    Journal: Linear Algebra and its Applications
    Volume: 418
    Issue: 1
    Page numbers: 11-14
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  • The weighted g-Drazin inverse for operators
    Year: 2006
    Journal: Journal of the Australian Mathematical Society
    Volume: 81
    Issue: 3
    Page numbers: 405-423
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Publications in 2005

Journal Articles

  • Differentiability of the g-Drazin inverse
    Year: 2005
    Journal: Studia Mathematica
    Volume: 168
    Issue: 3
    Page numbers: 193-201
    Publisher: Polish Academy of Sciences, Institute of Mathematics(Warsaw)
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  • Fredholm Properties of the Difference of Orthogonal Projections in a Hilbert Space
    Year: 2005
    Journal: Integral Equations and Operator Theory
    Volume: 52
    Page numbers: 125-134
    Publisher: Birkhauser(Basel)
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  • Holomorphic and Meromorphic Properties of the g-Drazin Inverse
    Year: 2005
    Journal: Demonstratio Mathematica
    Volume: 38
    Issue: 3
    Page numbers: 657-666
    Publisher: Politechnika Warszawska
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  • Singularly Perturbed C0-Semigroups and Nonhomogeneous Differential Equations in Branch Spaces
    Year: 2005
    Journal: Journal of Operator Theory
    Volume: 54
    Issue: 2
    Page numbers: 301-314
    Publisher: Academia Romana
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Publications in 2004

Journal Articles

  • Approximation of convex functions
    Year: 2004
    Journal: Real Analysis Exchange
    Volume: 29
    Issue: 1
    Page numbers: 465-472
    Publisher: Michigan State University, Department of Mathematics(Michigan)
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  • Hardy's discrete inequality
    Year: 2004
    Journal: Mathematical Inequalities and Applications
    Volume: 7
    Issue: 2
    Page numbers: 187-791
    Publisher: Element
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  • Hilbert-Pachpatte type multidimensional integral inequalities
    Year: 2004
    Journal: Journal of Inequalities in Pure and Applied Mathematics
    Volume: 5
    Issue: 2
    Page numbers: 1-8
    Publisher: Victoria University of Technology, Computer Sciences & Mathematics(Melbourne)
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  • Integral Representations of the g-Drazin Inverse in C*-Algebras
    Year: 2004
    Journal: Mathematica Bohemica
    Volume: 129
    Issue: 1
    Page numbers: 71-77
    Publisher: Ceska Akademie Ved
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  • New additive results for the g-Drazin inverse
    Year: 2004
    Journal: Proceedings of the Royal Society of Edinburgh Section A - Mathematics
    Volume: 134
    Issue: 6 (Dec)
    Page numbers: 1085-1097
    Publisher: Royal Society of Edinburgh(Edinburgh)
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  • On the Norm of Idempotents in C* -Algebras
    Year: 2004
    Journal: Rocky Mountain Journal of Mathematics
    Volume: 34
    Issue: 2
    Page numbers: 685-697
    Publisher: Rocky Mountain Mathematics Consortium
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  • The difference and sum of projectors
    Year: 2004
    Journal: Linear Algebra and its Applications
    Volume: 388
    Page numbers: 279-288
    Publisher: Elsevier Science(New York)
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Publications in 2003

Journal Articles

  • Closed Semistable Operators and Singular Differential Equations
    Year: 2003
    Journal: Czechoslovak Mathematical Journal
    Volume: 53 (128)
    Issue: 3
    Page numbers: 605-620
    Publisher: Kluwer Academic/Plenum Publishers
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  • Further Integral Inequalities Related to Hardy's Inequality
    Year: 2003
    Journal: Archives of Inequalities and Applications
    Volume: 1
    Issue: 1
    Page numbers: 43-54
    Publisher: Dynamic Publishers Inc(Philadelphia)
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  • Invertibility of the Difference of Idempotents
    Year: 2003
    Journal: Linear and Multilinear Algebra
    Volume: 51
    Issue: 1
    Page numbers: 97-110
    Publisher: Taylor & Francis
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  • Lebesgue through newton integral
    Year: 2003
    Journal: Australian Mathematical Society Gazette
    Volume: 30
    Issue: 5
    Page numbers: 261-264
    Publisher: Australian Mathematical Society
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  • Spectral theorem for normal matrices
    Year: 2003
    Journal: Australian Mathematical Society Gazette
    Volume: 30
    Issue: 2
    Page numbers: 78-80
    Publisher: Australian Mathematical Society
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  • Weyl type theorems for bounded linear operators
    Year: 2003
    Journal: Acta Scientiarum Mathematicarum
    Volume: 69
    Page numbers: 359-376
    Publisher: Szegedi Tudomanyegyetem, Bolyai Intezet
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Publications in 2002

Journal Articles

  • Continuity and general pertubation of the drazin inverse for closed linear operators
    Year: 2002
    Journal: Abstract and Applied Analysis
    Volume: 7
    Issue: 6
    Page numbers: 335-347
    Publisher: Hindawi Publishing Corp
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  • Counterexamples in ergodic theory of equicontinuous semigroups of operators
    Year: 2002
    Journal: Taiwanese Journal of Mathematics
    Volume: 6
    Issue: 2
    Page numbers: 175-180
    Publisher: Mathematical Society of the Republic of China(Hsinchu)
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  • Elements of rings with equal spectral idempotents
    Year: 2002
    Journal: Journal of the Australian Mathematical Society
    Volume: 72
    Issue: 1
    Page numbers: 137-152
    Publisher: Australian Mathematical Society
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  • Error bounds for a general pertubation of the drazin inverse
    Year: 2002
    Journal: Applied Mathematics and Computation
    Volume: 126
    Issue: 2-3
    Page numbers: 181-185
    Publisher: Elsevier Science(Philadelphia)
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  • Error bounds for pertubation of the drazin inverse of closed operators with equal spectral projections
    Year: 2002
    Journal: Applicable Analysis
    Volume: 81
    Issue: 4
    Page numbers: 915-928
    Publisher: Taylor & Francis
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  • Integral representation of the drazin inverse
    Year: 2002
    Journal: Electronic Journal of Linear Algebra
    Volume: 9
    Page numbers: 129-131
    Publisher: The International Linear Algebra Society
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  • Invertibility of the sum of idempotents
    Year: 2002
    Journal: Linear and Multilinear Algebra
    Volume: 50
    Issue: 4
    Page numbers: 285-292
    Publisher: Taylor & Francis
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  • On integral representation of the drazin inverse in banach algebras
    Year: 2002
    Journal: Edinburgh Mathematical Society Proceedings
    Volume: 45
    Issue: 2
    Page numbers: 327-331
    Publisher: Cambridge University Press
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  • Opial type Lp- inequalities for fractional derivatives
    Year: 2002
    Journal: International Journal of Mathematics and Mathematical Sciences
    Volume: 31
    Issue: 2
    Page numbers: 85-95
    Publisher: Hindawi Publishing Corp
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  • Weighted opial inequalities
    Year: 2002
    Journal: Tamkang Journal of Mathematics
    Volume: 33
    Page numbers: 93-102
    Publisher: Tamkang University Press
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Publications in 2001

Journal Articles

  • Block Diagonalisation
    Year: 2001
    Journal: Mathematica Bohemica
    Volume: 126
    Issue: 1
    Page numbers: 237-246
    Publisher: Ceska Akademie Ved
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  • Continuity and differentiability if the Moore-Penrose inverse in $C*$-algebras
    Year: 2001
    Journal: Mathematica Scandinavica
    Volume: 88
    Issue: 1
    Page numbers: 91-103
    Publisher: Mathematica Scandinavica
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  • Hilbert-Pachpatte type integral inequalities for fractional derivatives
    Year: 2001
    Journal: Fractional Calculus and Applied Analysis
    Volume: 4
    Issue: 1
    Page numbers: 37-46
    Publisher: Bulgarian Academy of Sciences(Sofia)
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  • New Hilbert-Pachpatte type integral inequalities
    Year: 2001
    Journal: Journal of Mathematical Analysis and Applications
    Volume: 257
    Issue: 1
    Page numbers: 238-250
    Publisher: Academic Press
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  • Opial inequalities for fractional derivatives
    Year: 2001
    Journal: Dynamic Systems and Applications
    Volume: 10
    Issue: 3
    Page numbers: 395-406
    Publisher: Dynamic Publishers Inc(Atlanta)
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  • Perturbation of the Drazin Inverse
    Year: 2001
    Journal: Soochow Journal of Mathematics
    Volume: 27
    Issue: 2
    Page numbers: 201-211
    Publisher: Soochow University
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  • The Drazin inverse for vlosed linear operators and the asymptotic convergence of $C_o$ semigroups
    Year: 2001
    Journal: Journal of Operator Theory
    Volume: 46
    Issue: 3
    Page numbers: 323-336
    Publisher: Academia Romana
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  • range Projections of idempotents in $C*$ -algebras
    Year: 2001
    Journal: Demonstratio Mathematica
    Volume: 34
    Issue: 1
    Page numbers: 91-103
    Publisher: Politechnika Warszawska
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