Wigner's theorem revisited

Gyula Maksa, Zsolt Páles

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In this paper, we give the general solution of the functional equation {||f(x) + f(y)||,|| f(x)-f(y)||={||x + y||, ||x - y||} (x, y ∈ X) where f : X → Y and X, Y are inner product spaces. Related equations are also considered. Our main tool is a real version of Wigner's unitary-antiunitary theorem.

Original languageEnglish
Pages (from-to)243-249
Number of pages7
JournalPublicationes Mathematicae
Volume81
Issue number1-2
DOIs
Publication statusPublished - Oct 22 2012

Keywords

  • Isometry
  • Wigner's unitary-antiunitary theorem

ASJC Scopus subject areas

  • Mathematics(all)

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