Zobrazeno 1 - 10
of 290
pro vyhledávání: '"Šemrl, Peter"'
Autor:
Mori, Michiya, Šemrl, Peter
We study lightlikeness preserving mappings from the $4$-dimensional Minkowski spacetime $\mathcal{M}_4$ to itself under no additional regularity assumptions like continuity, surjectivity, or injectivity. We prove that such a mapping $\phi$ satisfies
Externí odkaz:
http://arxiv.org/abs/2406.18874
Autor:
Semrl, Peter
Let $n$ be a positive integer and $H$ a Hilbert space. The description of the general form of bijective maps on the set of $n$-dimensional subspaces of $H$ preserving the maximal principal angle has been obtained recently. This is a generalization of
Externí odkaz:
http://arxiv.org/abs/2305.18982
Autor:
Mori, Michiya, Šemrl, Peter
Wigner's theorem characterizes isometries of the set of all rank one projections on a Hilbert space. In metric geometry nonexpansive maps and noncontractive maps are well studied generalizations of isometries. We show that under certain conditions Wi
Externí odkaz:
http://arxiv.org/abs/2305.05123
Autor:
Brešar, Matej, Šemrl, Peter
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:
http://arxiv.org/abs/2302.05106
Autor:
Semrl, Peter
We prove an optimal version of Wigner's unitary-antiunitary theorem. The main tool in our proof is Gleason's theorem.
Externí odkaz:
http://arxiv.org/abs/2106.06182
Autor:
Bresar, Matej, Semrl, Peter
If a noncommutative polynomial $f$ is neither an identity nor a central polynomial of $\mathcal A=M_n(\C)$, then every trace zero matrix in $\mathcal A$ can be written as a sum of two matrices from $f(\mathcal A)-f(\mathcal A)$. Moreover, "two" canno
Externí odkaz:
http://arxiv.org/abs/2103.10708
Autor:
Geher, Gyorgy Pal, Semrl, Peter
The Hilbert space effect algebra is a fundamental mathematical structure which is used to describe unsharp quantum measurements in Ludwig's formulation of quantum mechanics. Each effect represents a quantum (fuzzy) event. The relation of coexistence
Externí odkaz:
http://arxiv.org/abs/2008.08559
Autor:
Mori, Michiya, Šemrl, Peter
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 t
Externí odkaz:
http://arxiv.org/abs/2006.04488
Autor:
Mori, Michiya, Šemrl, Peter
Let $H$ be a finite-dimensional Hilbert space, $\dim H \ge 2$. We prove that every continuous coexistency preserving map on the effect algebra $E(H)$ is either a standard automorphism of $E(H)$, or a standard automorphism of $E(H)$ composed with the
Externí odkaz:
http://arxiv.org/abs/1911.09490
