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math.FA2002
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…
math.OA2002
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.…
math.FA2002
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…