P. Šemrl

activity

20002026

most citedIsometries of Grassmann spaces

42 citations · 113 across the 18 of their papers we have counts for

collaborators

19 papers

math.RA2026

Order embeddings of real matrix domains

Peter Semrl

Let $n$ be a positive integer, $n \neq = 1$ , and $S_{n}$ the set of all $n \times n$ real symmetric matrices. A nonempty subset $\U \subset S_n$ is called a matrix domain if it is open…

math.FA2026

Order automorphisms of effect algebras

Peter Semrl

An elegant description of the general form of order automorphisms of effect algebras has been known in the complex case. We present a much simpler proof based on the projective geo…

math.FA2025

The study of symmetries: some general techniques

Peter Semrl

Let $S (H)$ be the set of all self-adjoint bonded linear operators on $H$ and $V \subset S (H)$ a subset that is pertinent in mathematical foundations of quantum mechanics.…

math.FA2025

Approximate isometries of Hilbert spaces

Peter Semrl

We improve the Hyers-Ulam stability result for isometries of real Hilbert spaces by removing the surjectivity assumption.

math.FA2023

Maps on Grassmann spaces preserving the minimal principal angle

Peter Semrl

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 p…

math.RA2023

The Waring Problem for Matrix Algebras, II

Matej Brešar, Peter Šemrl

Let $f$ bea noncommutativepolynomial of degree $m \geq 1$ over an algebraically closed field $F$ of characteristic $0$ . If $n \geq m - 1$ and $α_{1}, α_{2}, α_{3}$ are nonzero elements from $F$ …