Wigner's theorem revisited

• Autores: Gyula Maksa, Zsolt Páles
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 81, Fasc. 1-2, 2012, págs. 243-249
• Idioma: inglés
• DOI: 10.5486/pmd.2012.5359
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• Resumen

  • In this paper, we give the general solution of the functional equation { �af(x) + f(y)�a; �af(x) . f(y)�a } = { �ax + y�a; �ax . y�a } (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.