A Wigner-type theorem in Banach spaces
Functional Analysis
2007-05-23 v1 Rings and Algebras
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.
Cite
@article{arxiv.math/0011031,
title = {A Wigner-type theorem in Banach spaces},
author = {Lajos Molnar},
journal= {arXiv preprint arXiv:math/0011031},
year = {2007}
}
Comments
7 pages. To appear in Publ. Math. (Debrecen)