1 citations · 2 across the 4 of their papers we have counts for
8 papers
The structure of maps on the space of all quantum pure states that preserve a fixed quantum angle
György Pál Gehér, Michiya Mori
Let be a Hilbert space and be the projective space of all quantum pure states. Wigner's theorem states that every bijection that preserves the qua…
Lattice isomorphisms between projection lattices of von Neumann algebras
Michiya Mori
Generalizing von Neumann's result on type II von Neumann algebras, we characterize lattice isomorphisms between projection lattices of arbitrary von Neumann algebras by means o…
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…
Continuous coexistency preservers on effect algebras
Michiya Mori, Peter Šemrl
Let be a finite-dimensional Hilbert space, . We prove that every continuous coexistency preserving map on the effect algebra is either a standard automorph…
On 2-local nonlinear surjective isometries on normed spaces and C-algebras
Michiya Mori
We prove that, if the closed unit ball of a normed space has sufficiently many extreme points, then every mapping from into itself with the following property is affine…
Order isomorphisms of operator intervals in von Neumann algebras
Michiya Mori
We give a complete description of order isomorphisms between operator intervals in general von Neumann algebras. For the description, we use Jordan -isomorphisms and locally me…