42 citations · 113 across the 18 of their papers we have counts for
8 papers · 1 filter
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…
The study of symmetries: some general techniques
Peter Semrl
Let be the set of all self-adjoint bonded linear operators on and a subset that is pertinent in mathematical foundations of quantum mechanics.…
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.
Maps on Grassmann spaces preserving the minimal principal angle
Peter Semrl
Let be a positive integer and a Hilbert space. The description of the general form of bijective maps on the set of -dimensional subspaces of preserving the maximal p…
Coexistency on Hilbert space effect algebras and a characterisation of its symmetry transformations
Gyorgy Pal Geher, Peter Semrl
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 e…
Loewner's theorem for maps on operator domains
Michiya Mori, Peter Šemrl
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 orde…