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
Reference23 articles.
1. Alonso, J.: Uniqueness properties of isosceles orthogonality in normed linear spaces. Ann. Sci. Math. Qué. 18, 25–38 (1994)
2. Bourgain, J.: Real isomorphic complex Banach spaces need not be complex isomorphic. Proc. Am. Math. Soc. 96, 221–226 (1986)
3. Bargmann, V.: Note on Wigner’s theorem on symmetry operations. J. Math. Phys. 5, 862–868 (1964)
4. Bracci, L., Morchio, G., Strocchi, F.: Wigner’s theorem on symmetries in indefinite metric spaces. Commun. Math. Phys. 41, 289–299 (1975)
5. Chevalier, G.: Wigner’s theorem and its generalizations. In: Engesser, K., Gabbay, D.M., Lehmann, D. (eds.) Handbook of Quantum Logic and Quantum Structure: Quantum Structures, pp. 429–475. Elsevier, Amsterdam (2007)
Cited by
16 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献