Peter Šemrl | |
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Known for | Linear algebra, Functional analysis, Operator theory, Mathematical Physics |
Awards |
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Scientific career | |
Fields | Mathematics |
Institutions | Institute of Mathematics, Physics and Mechanics, University of Ljubljana |
Peter Šemrl is a professor in the Department of Mathematics at the University of Ljubljana.
Research Interests
- Linear algebra
- Functional analysis
- Operator theory
- Mathematical Physics
- General preservers,
- Geometry of matrices,
- Fundamental theorem of chronogeometry,
- Isometries, local automorphisms.
Professional Activities
- Editor in Chief, Linear and Multilinear Algebra, 2006-present.
- Senior Editor, Linear Algebra and its Applications, 2018-present.
- Editorial Board Member, Electronic Journal of Linear Algebra, 1999-2023.
- Editorial Board Member, SIAM Review, 2012-2014.
- President, International Linear Algebra Society, 2008-2014.
- Vice-President (for ILAS conferences), International Linear Algebra Society, 2015-2020.
- Member of the Board of Directors, Pacific Institute for the Mathematical Sciences, 2015-present.
- External Advisory Committee Member, Centre of Mathematics (CMAT), University of Minho, Portugal, 2013-present.
- Scientific Advisory Board Member, Applied Algebra and Optimization Research Center, Sungkyunkwan University, Korea, 2016-2023.
Membership
- Linear Algebra and Its Applications, Editor-in-Chief with Richard Brualdi and Volker Mehrmann.
- Acta Scientiarum Mathematicarum
Selected Publications
- Comparability preserving maps on Hilbert space effect algebras, Comm. Math. Phys. 313 (2012), 375-384.
- The optimal version of Hua's fundamental theorem of geometry of rectangular matrices, Mem. Amer. Math. Soc. 232 (2014), 74pp.
- with G.P. Geher, Isometries of Grassmann spaces, J. Funct. Anal. 270 (2016), 1585-1601.
- with G.P. Geher, Isometries of Grassmann spaces II, Adv. Math. 332 (2018), 287-310.
- with G.P. Geher, Coexistency on Hilbert space effect algebras and a characterisation of its symmetry transformations, Comm. Math. Phys. 379 (2020), 1077-1112.
- with M. Mori, Continuous coexistency preservers on effect algebras, J. Phys. A 54 (2021), 015303-15320.
- Step-isometries, J. Funct. Anal. 280 (2021), 108961, 26pp.
- Wigner symmetries and Gleason's theorem, J. Phys. A 54 (2021), 315301, 6pp.
- with M. Mori, Loewner's theorem for maps on operator domains, Canad. J. Math. 75 (2023), 912-944.
- with M. Bresar, The Waring problem for matrix algebras, Israel J. Math. 253 (2023), 381-405.
External Links