A variant of Wigner's functional equation

被引：11

作者：

Turnsek, Aleksej ^{[1
,2
]}

机构：

[1] Univ Ljubljana, Fac Maritime Studies & Transport, Portoroz 6320, Slovenia

[2] Inst Math Phys & Mech, Ljubljana 1000, Slovenia

来源：

AEQUATIONES MATHEMATICAE | 2015年 / 89卷 / 04期

关键词：

Functional equation; Wigner's theorem; quaternions; isometry; SYMMETRY TRANSFORMATIONS; THEOREM; PROOF; VERSION;

D O I：

10.1007/s00010-014-0296-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize mappings between inner product spaces satisfying a certain pair of functional equations. As a consequence a short proof of Wigner's theorem for real, complex or quaternionic inner spaces is presented.

引用

页码：949 / 956

页数：8

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