Draft:Peter Semrl
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Peter Šemrl is a Slovenian mathematician professor in Institute of Mathematics, Physics and Mechanics[1] at the University of Ljubljana. He is renowned for his contributions to functional analysis, operator theory, and mathematical optimization.
Research Interests
[edit]- Linear algebra
- Functional analysis
- Operator theory
- Mathematical Physics
- Applied linear algebra
- General preservers
- Geometry of matrices
- Fundamental theorem of chronogeometry
- Isometries
- Local automorphisms
International awards and appointments
[edit]- National award for scientific achievements, Slovenia, 1996
- Taussky-Todd Prize[2], 2004
- President of International Linear Algebra Society[7],2014-2020
Selected Publications
[edit]- Semrl, Peter (1993). "Ring derivations on standard operator algebras". Journal of Functional Analysis. 112 (2): 318–324. doi:10.1016/0022-1236(87)31035-9 (inactive 1 November 2024).
{{cite journal}}: CS1 maint: DOI inactive as of November 2024 (link)
- Brešar, Matej; Šemrl, Peter (1993). "Mappings which preserve idempotents, local automorphisms, and local derivations". Canadian Journal of Mathematics. 45 (3): 483–496. doi:10.4153/CJM-1993-025-4.
- Omladič, Matjaž; Šemrl, Peter (1995). "On non linear perturbations of isometries". Mathematische Annalen. 303 (1): 617–628. doi:10.1007/BF01461008.
- Brešar, Matej; Šemrl, Peter (1996). "Derivations mapping into the socle". Mathematical Proceedings of the Cambridge Philosophical Society. 120 (2). Cambridge University Press: 339–346. doi:10.1017/S0305004100074892.
- Šemrl, Peter (1996). "Linear mappings that preserve operators annihilated by a polynomial". Journal of Operator Theory: 45–58. doi:10.1016/S0022-247X(02)00105-1.
- Brešar, Matej; Šemrl, Peter (1996). "Linear maps preserving the spectral radius". Journal of Functional Analysis. 142 (2): 360–368. doi:10.1006/jfan.1996.0153.
- Meshulam, Roy; Šemrl, Peter (2002). "Locally linearly dependent operators". Pacific Journal of Mathematics. 203 (2): 441–459. doi:10.2140/PJM.2002.203.441.
- Šemrl, Peter (2003). "Generalized Symmetry Transformations on Quaternionic Indefinite Inner Product Spaces: An Extension of Quaternionic Version of Wigner's Theorem". Communications in Mathematical Physics. 242 (3): 579–584. doi:10.1007/s00220-003-0957-7.
- Šemrl, Peter (2004). "Applying projective geometry to transformations on rank one idempotents". Journal of Functional Analysis. 210 (1): 248–257. doi:10.1016/j.jfa.2003.07.009.
- Molnár, Lajos; Šemrl, Peter (2005). "Nonlinear commutativity preserving maps on self-adjoint operators". Quarterly Journal of Mathematics. 56 (4): 589–595. doi:10.1093/qmath/hah058.
- Šemrl, Peter (2017). "Order isomorphisms of operator intervals". Integral Equations and Operator Theory. 89 (1): 1–42. doi:10.1007/s00020-017-2395-5.
- Šemrl, Peter; Gehér, G.P. (2020). "Coexistency on Hilbert space effect algebras and characterization of its symmetry transformations". Communications in Mathematical Physics. 379 (3): 1077–1112. doi:10.1007/s00220-020-03873-3.
- Mori, Michiya; Šemrl, Peter (2023). "Loewner's theorem for maps on operator domains". Canadian Journal of Mathematics. 75 (3): 912–944. arXiv:2006.04488. doi:10.4153/S0008414X22000219.