Isometric isomorphisms in proper $CQ^*$-algebras

DOI10.1007/s10114-009-7454-7zbMath1175.39025OpenAlexW2080268442MaRDI QIDQ839735

Publication date: 3 September 2009

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

Full work available at URL: https://doi.org/10.1007/s10114-009-7454-7

zbMATH Keywords

Hyers-Ulam-Rassias stability Cauchy-Jensen functional equation isometric isomorphism in proper $CQ^*$-algebras

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)

Related Items (2)

Approximate $(m,n)$-Cauchy-Jensen additive mappings in $C^\ast$-algebras ⋮ ISOMORPHISMS,DERIVATIONS AND ISOMETRIES IN PROPER <i>CQ</i><sup>∗</sup>-ALGEBRAS

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Cauchy-Rassias stability of Cauchy-Jensen additive mappings in Banach spaces
On stability of additive mappings
Properties of isometric mappings
A generalization of the Hyers-Ulam-Rassias stability of Jensen's equation
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 and a problem of Ulam
On the stability of functional equations in Banach spaces
Derivations of quasi $^*$-algebras
Lie $\ast$-homomorphisms between Lie $C^*$-algebras and Lie $\ast$-derivations on Lie $C^*$-algebras
On the stability of the linear mapping in Banach modules
$CQ^*$-algebras: Structure properties
On the Hyers-Ulam stability of linear mappings
Homomorphisms between $JC^*$-algebras and Lie $C^*$-algebras
Some classes of topological quasi $*$-algebras
Isomorphisms between C*-ternary algebras
Real Isomorphic Complex Banach Spaces Need not be Complex Isomorphic
Proprieta’ locali e approssimazione di operatori
On the Stability of the Linear Mapping in Banach Spaces
On the Mazur-Ulam Theorem and the Aleksandrov Problem for Unit Distance Preserving Mappings
O* - Dynamical Systems and * - Derivations of Unbounded Operator Algebras
On an approximate automorphism on a $C^{*}$-algebra
Some seminorms on quasi^*-algebras
Applications of topological*-algebras of unbounded operators
QUASI *-ALGEBRAS OF OPERATORS AND THEIR APPLICATIONS
Bounded elements and spectrum in Banach quasi^*-algebras
Isometries in Normed Spaces
On the Stability of the Linear Functional Equation
Approximate homomorphisms
Stability of functional equations in several variables

This page was built for publication: Isometric isomorphisms in proper $CQ^*$-algebras

Isometric isomorphisms in proper \(CQ^*\)-algebras