A Wigner-type theorem in Banach spaces

2000/11/04 by Lajos Molnár, Lajos Molnar, Molnar, Lajos
Mathematics · #47N50 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Rings and Algebras (math.RA) #math.FA #math.RA #msc:47N50

paper · pdf · doi:10.48550/arxiv.math/0011031

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

arxiv created 2000/11/04 · openalex publication_date 2000/11/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Symmetry Groups in Quantum Mechanics and the Theorem of Wigner on the Symmetry Transformations

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