On normed spaces with the Wigner Property

Author:

Wang Ruidong,Bugajewski DariuszORCID

Abstract

AbstractThe aim of this paper is to generalize the Wigner Theorem to real normed spaces. A normed space is said to have the Wigner Property if the Wigner Theorem holds for it. We prove that every two-dimensional real normed space has the Wigner Property. We also study the Wigner Property of real normed spaces of dimension at least three. It is also shown that strictly convex real normed spaces possess the Wigner Property.

Funder

Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Analysis,Algebra and Number Theory

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