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arxiv: math/0011031 · v1 · submitted 2000-11-04 · 🧮 math.FA · math.RA

A Wigner-type theorem in Banach spaces

classification 🧮 math.FA math.RA
keywords spacesbanachlineartheoremwigner-typeanlogueclassicaldimensional
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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.

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