Associate Professor Jerry KOLIHA
Principal Fellow (Associate)
School of Mathematics and Statistics
- Room: 157
- Building: Peter Hall Building
- Campus: Parkville
Research Interests
- Operator Theory
- Generalized inverses
- Banach and C* algebras
- Matrix analysis
- Inequalities
Recent Publications
A. Dajic, J. Koliha, A Dajić. The weighted $g$-Drazin inverse for operators. Journal of the Australian Mathematical Society Series A - Pure Mathematics and Statistics, 82, 163-182, 2007. doi: 10.1017/S1446788700016013.
D Cvetkovi-Ilic, A. Dajic, J. Koliha, D Cvetkovic-Ilic, D Cvetković-Ilić, Alegra Dajić. Positive and real-positive solutions to the equation axa* = c in C*-algebras. Linear and Multilinear Algebra, 55, 535-543, 2007. doi: 10.1080/03081080701248112.
J. Koliha, V. Rakocevic. Differentiability of the g-Drazin inverse. Studia Mathematica, 168, 193-201, 2005. PDF.
Past Postgraduate Supervision
Name | Thesis title |
---|---|
Alegra DAJIC | "Generalized operator inverses with applications" |
Daniel GRIXTI-CHENG | "Linear Relations on Normed and Hilbert Spaces with Applications" |
Raymond LUBANSKY | "Pointwise Axiomatic Spectral Theory in Banach Algebras" |
Paul WILLIAMS | "Unifying fractional calculus with time scales" |
Past MSc Students
Name | Project title |
---|---|
Fransiska SEANNY | "Matrices over C*-algebras and Applications" |
Paul WILLIAMS | "Introduction to Fractional Calculus with Applications" |