Approximation of linear mappings in Banach modules over \(C^\ast \)-algebras
type: Item
instance of: scholarly article
title: Approximation of linear mappings in Banach modules over \(C^\ast \)-algebras
zbMATH Open document ID: 1282.39033
DOI: 10.1186/1029-242X-2013-185
author: Reza Saadati
author: Yeol Je Cho
author: Choonkil Park
published in: Journal of Inequalities and Applications
publication date: 2014-01-27T00:00:00Z
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 46L08
zbMATH DE Number: 6250767
zbMATH Keywords: Hyers-Ulam stability
zbMATH Keywords: superstability
zbMATH Keywords: generalized Euler-Lagrange type additive mapping
zbMATH Keywords: homomorphism
zbMATH Keywords: \(C^\ast\)-algebra
zbMATH Keywords: Banach module
zbMATH Keywords: fixed point method
MaRDI profile type: Publication
cites work: On the Stability of the Linear Functional Equation
cites work: On the stability of the linear transformation in Banach spaces
cites work: A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
cites work: Proprieta’ locali e approssimazione di operatori
cites work: Remarks on the stability of functional equations
cites work: On the stability of the quadratic mapping in normed spaces
cites work: Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations
cites work: Elementary remarks on Ulam-Hyers stability of linear functional equations
cites work: On stability of additive mappings
cites work: On a problem of G. Isac and Th. M. Rassias concerning the stability of mappings
cites work: On the asymptoticity aspect of Hyers-Ulam stability of mappings
cites work: On the stability of the additive Cauchy functional equation in random normed spaces
cites work: On the stability of the linear mapping in Banach modules
cites work: Linear functional equations in Banach modules over a \(C^*\)-algebra
cites work: Solution of the Ulam stability problem for Euler-Lagrange quadratic mappings
cites work: The problem of S. M. Ulam for approximately multiplicative mappings
cites work: On the Hyers-Ulam stability of linear mappings
cites work: Variational problem of some quadratic functionals in complex analysis
cites work: The stability of the quartic functional equation in various spaces
cites work: A fixed point theorem of the alternative, for contractions on a generalized complete metric space
cites work: Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
cites work: The fixed point method for fuzzy stability of the Jensen functional equation
cites work: A fixed point approach to stability of a quadratic equation
cites work: Generalized Hyers–Ulam stability of an Euler–Lagrange type additive mapping
cites work: Homomorphisms between Poisson JC*-algebras
Wikidata QID: Q59292830
full work available at URL: 1029-242x-2013-185
OpenAlex ID: W2099097084
description: scientific article; zbMATH DE number 6250767