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.
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Department of Mathematical Sciences, University of Aarhus, Building 530, DK-8000 Aarhus C, Ny MunkegadeDepartment of Mathematical Sciences, University of Aarhus, Building 530, DK-8000 Aarhus C, Ny Munkegade
机构:
Department of Mathematics, Faculty of Sciences, Ibn Tofail University, BP 14000, KenitraDepartment of Mathematics, Faculty of Sciences, Ibn Tofail University, BP 14000, Kenitra
EL-Fassi I.-I.
Chahbi A.
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机构:
Department of Mathematics, Faculty of Sciences, Ibn Tofail University, BP 14000, KenitraDepartment of Mathematics, Faculty of Sciences, Ibn Tofail University, BP 14000, Kenitra
Chahbi A.
Kabbaj S.
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Department of Mathematics, Faculty of Sciences, Ibn Tofail University, BP 14000, KenitraDepartment of Mathematics, Faculty of Sciences, Ibn Tofail University, BP 14000, Kenitra