18 citations · 18 across the 5 of their papers we have counts for
20 papers
Sequential isomorphisms between the sets of von Neumann algebra effects
Lajos Molnar
In this paper we describe the structure of all sequential isomorphisms between the sets of von Neumann algebra effects. It turns out that if the underlying algebras have no commuta…
Linear maps on the space of all bounded observables preserving maximal deviation
L. Molnar, M. Barczy
In this paper we determine all the bijective linear maps on the space of bounded observables which preserve a fixed moment or the variance. Nonlinear versions of the corresponding…
A class of preservers on Hilbert space effects including ortho-order automorphisms and sequential automorphisms
Lajos Molnar
In this paper we study a new class of transformations on the set of all Hilbert space effects. This consists of the bijective maps which preserve the order and zero product in both…
Local automorphisms of operator algebras on Banach spaces
Lajos Molnar
In this paper we extend a result of Semrl stating that every 2-local automorphism of the full operator algebra on a separable infinite dimensional Hilbert space is an automorphism.…
Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
Lajos Molnar
We present an analogue of Uhlhorn's version of Wigner's theorem on symmetry transformations for the case of indefinite inner product spaces. This significantly generalizes a result…
Local automorphisms of some quantum mechanical structures
Lajos Molnar
Let H be a separable infinite dimensional complex Hilbert space. We prove that every continuous 2-local automorphism of the poset (that is, partially ordered set) of all idempotent…