Isomorphisms between unital \(C^{\ast}\)-algebras

DOI10.1016/j.jmaa.2005.01.059zbMath1101.39015OpenAlexW2048362670MaRDI QIDQ557028

Chun-Gil Park

Publication date: 23 June 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.01.059

zbMATH Keywords

Mazur-Ulam theorem\(C^*\)-algebra isomorphism

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items

Stability problem for the composite type functional equations, Isomorphisms between quasi-Banach algebras, Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation, The \(N\)-isometric isomorphisms in linear \(N\)-normed \(C^{\ast}\)-algebras, Hyers-Ulam stability of polynomial equations, Approximate isomorphisms in \(C^{*}\)-algebras, Additive ρ-Functional Inequalities and Their Applications, Homomorphisms and derivations in proper \(JCQ^{*}\)-triples, Stability of homomorphisms for a 3D Cauchy-Jensen type functional equation on \(C^{*}\)-ternary algebras, On the generalized Hyers-Ulam stability of module left \((m,n)\)-derivations, Fixed points and random stability of a generalized Apollonius type quadratic functional equation, HOMOMORPHISMS IN PROPER LIE CQ^*-ALGEBRAS, Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(C^*\)-algebras of real rank zero
• Variational problem of some quadratic functionals in complex analysis
• Properties of isometric mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• The problem of S. M. Ulam for approximately multiplicative mappings
• On the stability of functional equations in Banach spaces
• On the stability of the linear mapping in Banach modules
• On the Hyers-Ulam stability of linear mappings
• Means and convex combinations of unitary operators.
• Real Isomorphic Complex Banach Spaces Need not be Complex Isomorphic
• On the Stability of the Linear Mapping in Banach Spaces
• On the Mazur-Ulam Theorem and the Aleksandrov Problem for Unit Distance Preserving Mappings
• An Elementary Example of a Banach Space not Isomorphic to its Complex Conjugate
• Isometries in Normed Spaces