Isometries and a generalized Cauchy equation

DOI10.1007/s000100050136zbMath0965.39022OpenAlexW1994777762MaRDI QIDQ1587839

Roman Ger, Barbara Koclȩga

Publication date: 23 July 2001

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000100050136

zbMATH Keywords

convexityCauchy equationisometryfunctional equationssublinear functionsreal normed linear spaceJensen-convexity

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62) Isometric theory of Banach spaces (46B04)

Related Items (6)

On generalized Hyers-Ulam stability of additive mapings on restricted domains of Banach spaces ⋮ Local stability of a generalized Cauchy equation in Banach spaces ⋮ Fischer–Muszély Additivity: A Half Century Story ⋮ Semi-Inner Products and Parapreseminorms on Groups and a Generalization of a Theorem of Maksa and Volkmann on Additive Functions ⋮ The thirty-ninth International symposium on functional equations, August 12--18, 2001, Sandbjerg, Denmark ⋮ Fischer-Muszély functional equation almost everywhere

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