Reflections and a generalization of the Mazur-Ulam theorem

DOI10.1216/RMJ-2012-42-1-117zbMath1250.46008MaRDI QIDQ422011

Sin-Ei Takahasi, Osamu Hatori, Kiyotaka Kobayashi, Takeshi Miura

Publication date: 16 May 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1327329315

zbMATH Keywords

Mazur-Ulam theoremisometriesBanach-Stone theoremmetricoid groupsmetricoid spaces

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04)

Related Items (3)

Composition in modulus maps on semigroups of continuous functions ⋮ Algebraic properties of isometries between groups of invertible elements in Banach algebras ⋮ Isometries and maps compatible with inverted Jordan triple products on groups

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