The \(N\)-isometric isomorphisms in linear \(N\)-normed \(C^{\ast}\)-algebras

DOI10.1007/s10114-005-0878-9zbMath1125.39028OpenAlexW2089465285MaRDI QIDQ882762

Chun-Gil Park, Themistocles M. Rassias

Publication date: 24 May 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0878-9

zbMATH Keywords

generalized Hyers-Ulam-Rassias stabilityTrif functional equation\(N\)-isometric isomorphismLie \(C^*\)-algebralinear \(N\)-normed Banach modulePoisson \(C^*\)-algebra

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) General theory of (C^*)-algebras (46L05) Functional equations for functions with more general domains and/or ranges (39B52) Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) (46A70) Isometric theory of Banach spaces (46B04) Poisson algebras (17B63) Jordan structures on Banach spaces and algebras (17C65) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (13)

Some Remarks on the Group of Isometries of a Metric Space ⋮ A Mazur-Ulam problem in non-Archimedean \(n\)-normed spaces ⋮ Approximate isomorphisms in \(C^{*}\)-algebras ⋮ Stability of a pexiderial functional equation in random normed spaces ⋮ An interview with Themistocles M. Rassias ⋮ Stability of functional equations in several variables ⋮ Approximately linear mappings in Banach modules over a \(C^*\)-algebra ⋮ Distributional methods for a class of functional equations and their stabilities ⋮ On the stability of a cubic functional equation ⋮ A note on the stability of Jordan triple higher ring derivations ⋮ Stability of a generalized quadratic functional equation in Schwartz distributions ⋮ Homomorphisms in quasi-Banach algebras associated with a pexiderized Cauchy-Jensen functional equation ⋮ Refined functional equations stemming from cubic, quadratic and additive mappings

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