Associate Professor Jerry KOLIHA

Principal Fellow (Associate)

School of Mathematics and Statistics

  • Room: 157
  • Building: Peter Hall Building
  • Campus: Parkville Campus

Research Interests

  • Inequalities
  • Matrix analysis
  • Banach and C* algebras
  • Generalized inverses
  • Operator Theory

Research Groups

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.

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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"