Zobrazeno 1 - 10 of 164 pro vyhledávání: '"Peter Šemrl"'
1
Loewner’s theorem for maps on operator domains
Autor: Michiya Mori, Peter Šemrl
Publikováno v: Canadian Journal of Mathematics. 75:912-944
The classical Loewner’s theorem states that operator monotone functions on real intervals are described by holomorphic functions on the upper half-plane. We characterize local order isomorphisms on operator domains by biholomorphic automorphisms of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4e1ee078ffd54e3ec1bd6b91f00328c6
https://doi.org/10.4153/s0008414x22000219
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2
The Waring Problem for Matrix Algebras, II
Autor: Matej Brešar, Peter Šemrl
Let $f$ bea noncommutativepolynomial of degree $m\ge 1$ over an algebraically closed field $F$ of characteristic $0$. If $n\ge m-1$ and $\alpha_1,\alpha_2,\alpha_3$ are nonzero elements from $F$ such that $\alpha_1+\alpha_2+\alpha_3=0$, then every tr
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11fd1cd58172f5d5ad8c2d1830bb15d4
http://arxiv.org/abs/2302.05106
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5
Endomorphisms of the poset of idempotent matrices
Autor: Peter Šemrl
Publikováno v: Journal of Algebra. 536:1-38
Let D be a division ring, n ≥ 3 an integer, and P n ( D ) the poset of all n × n idempotent matrices over D with the partial order defined by P ≤ Q if P Q = Q P = P . Let T ∈ M n ( D ) be an invertible matrix and σ : D → D an endomorphism (
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3876752560bd284f9aa670c72f49594f
https://doi.org/10.1016/j.jalgebra.2019.07.007
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6
Continuous commuting functions on matrix algebras
Autor: Matej Brešar, Peter Šemrl
Publikováno v: Linear Algebra and its Applications. 568:29-38
If a continuous function f : M n ( C ) → M n ( C ) satisfies f ( x ) x = x f ( x ) for all x ∈ M n ( C ) , then there exist functions a 0 , a 1 , … , a n − 1 : M n ( C ) → C such that f ( x ) = ∑ j = 0 n − 1 a j ( x ) x j for all x ∈
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ca154511292c8d76bba48ff3f42ae870
https://doi.org/10.1016/j.laa.2018.03.032
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7
Continuous space-time transformations
Autor: Clément de Seguins Pazzis, Peter Šemrl
Publikováno v: Advances in Geometry. 18:385-393
We prove that every continuous map acting on the four-dimensional Minkowski space and preserving light cones in one direction only is either a Poincar\'e similarity, that is, a product of a Lorentz transformation and a dilation, or it is of a very sp
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62e1f4c37f1160e1829f8656850e700c
https://doi.org/10.1515/advgeom-2017-0056
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9
Wigner symmetries and Gleason’s theorem *
Autor: Peter Šemrl
Publikováno v: Journal of Physics A: Mathematical and Theoretical. 54:315301
We prove an optimal version of Wigner's unitary-antiunitary theorem. The main tool in our proof is Gleason's theorem.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad24f937e65882a9868c03b578d50de9
https://doi.org/10.1088/1751-8121/ac0d35
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10
Order and Spectrum Preserving Maps on Positive Operators
Autor: Peter Šemrl
Publikováno v: Canadian Journal of Mathematics. 69:1422-1435
We describe the general form of surjective maps on the cone of all positive operators that preserve order and spectrum. The result is optimal as shown by counterexamples. As an easy consequence, we characterize surjective order and spectrum preservin
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fd2669fd6ac76b35a517bde2cf66c90a
https://doi.org/10.4153/cjm-2016-039-0
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