Superstability of the equation of quadratic functionals in \(L^p\)-spaces

DOI10.1007/s00010-002-8019-3zbMath1062.39030OpenAlexW2061855982MaRDI QIDQ1601724

Stefan Czerwik, Krzysztof Dłutek

Publication date: 27 June 2002

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

Full work available at URL: https://doi.org/10.1007/s00010-002-8019-3

zbMATH Keywords

stabilityquadratic functional equation\(L^p\)-spacesabelian complete measurable groupmetric abelian group

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (4)

On the generalized Hyers-Ulam-Rassias stability of an \(n\)-dimensional quadratic function equation ⋮ Approximate solutions of a quadratic functional equation in 2-Banach spaces using fixed point theorem ⋮ Stability of the quadratic functional equation in Lipschitz spaces ⋮ Lipschitz stability of the k-quadratic functional equation

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