### Abstract

We obtain an analogue 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.

Original language | English |
---|---|

Pages (from-to) | 231-239 |

Number of pages | 9 |

Journal | Publicationes Mathematicae |

Volume | 58 |

Issue number | 1 |

Publication status | Published - 2001 |

### Fingerprint

### Keywords

- Jordan homomorphisms
- Linear preservers
- Symmetry transformation
- Wigner's theorem

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Publicationes Mathematicae*,

*58*(1), 231-239.

**A Wigner-type theorem on symmetry transformations in Banach spaces.** / Molnár, L.

Research output: Contribution to journal › Article

*Publicationes Mathematicae*, vol. 58, no. 1, pp. 231-239.

}

TY - JOUR

T1 - A Wigner-type theorem on symmetry transformations in Banach spaces

AU - Molnár, L.

PY - 2001

Y1 - 2001

N2 - We obtain an analogue 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.

AB - We obtain an analogue 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.

KW - Jordan homomorphisms

KW - Linear preservers

KW - Symmetry transformation

KW - Wigner's theorem

UR - http://www.scopus.com/inward/record.url?scp=0041029067&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0041029067&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0041029067

VL - 58

SP - 231

EP - 239

JO - Publicationes Mathematicae

JF - Publicationes Mathematicae

SN - 0033-3883

IS - 1

ER -