Nearly convex functions, perturbations of norms and $K$-spaces

DOI10.1090/S0002-9939-00-05588-XzbMath0965.39024OpenAlexW1592234386MaRDI QIDQ4523199

Félix Cabello Sánchez

Publication date: 8 January 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05588-x

zbMATH Keywords

convexityHyers-Ulam stabilityBanach spacetriangle inequalityapproximately convex functions\(K\)-space

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Cites Work

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• Uniformly Exhaustive Submeasures and Nearly Additive Set Functions
• Twisted Sums of Sequence Spaces and the Three Space Problem
• Examples for the Nonlocally Convex Three Space Problem
• A Counterexample to the Infinity Version of the Hyers and Ulam Stability Theorem
• Approximately Convex Functions
• Remarks on the stability of functional equations

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