paper

A Wigner-type theorem in Banach spaces

arXiv:math/0011031

Abstract

We obtain an anlogue of Wigner's classical theorem on symmetries for Banach spaces. The proof is based on a result from the theory of linear preservers. Moreover, we present two other Wigner-type results for finite dimensional linear spaces over general fields.

7 pages. To appear in Publ. Math. (Debrecen)

A Wigner-type theorem in Banach spaces · wovepaper