On Wigner's theorem: Remarks, complements, comments, and corollaries
type: Item
instance of: scholarly article
title: On Wigner's theorem: Remarks, complements, comments, and corollaries
zbMATH Open document ID: 0860.39033
DOI: 10.1007/BF01818323
published in: Aequationes Mathematicae
publication date: 1997-04-13T00:00:00Z
full work available at URL: https://eudml.org/doc/137651
review text: The author uses functional equations to present a very simple proof of Wigner's unitarity-antiunitarity theorem (simultaneously in the real and the complex case) and it is shown how some hypotheses (like the completeness of the inner product spaces) can be eliminated. Some connections with special classes of geometrical transformations are given.
reviewed by: Claudi Alsina
Mathematics Subject Classification ID: 39B42
Mathematics Subject Classification ID: 46C05
zbMATH DE Number: 935124
zbMATH Keywords: functional equations
zbMATH Keywords: Wigner's unitarity-antiunitarity theorem
zbMATH Keywords: inner product spaces
author: Jürg Rätz
MaRDI profile type: Publication
cites work: Q4022237
cites work: On mappings preserving orthogonality of non-singular vectors
cites work: On continuous preservation of norms and areas
cites work: Q3976136
cites work: Note on Wigner's Theorem on Symmetry Operations
cites work: The Wigner unitarity-antiunitarity theorem
cites work: A direct proof of Wigner's theorem on maps which preserve transition probabilities between pure states of quantum systems
cites work: Q3844299
description: scientific article; zbMATH DE number 935124