Cauchy-Rassias stability of linear mappings in Banach modules associated with a generalized Jensen type mapping
type: Item
instance of: scholarly article
title: Cauchy-Rassias stability of linear mappings in Banach modules associated with a generalized Jensen type mapping
zbMATH Open document ID: 1197.39019
author: B. E. Eshmatov
published in: Bulletin of the Iranian Mathematical Society
publication date: 2010-06-07T00:00:00Z
review text: The authors prove the stability of the generalized Jensen type functional equation \[ f\big(x_1+\sum_{j=2}^{2n}(-1)^jx_j\big)-f\big(x_1+\sum_{j=2}^{2n}(-1)^{j-1}x_j\big)=2\sum_{j=2}^{2n}(-1)^jf(x_j) \] in Banach modules over a unital \(C^*\)-algebra. They also prove the stability of homomorphisms in Poisson Banach modules over a unital Poisson \(C^*\)-algebra and investigate homomorphisms between \(C^*\)-algebras and Poisson \(JC^*\)-algebras.
reviewed by: Maryam Amyari
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 46L05
Mathematics Subject Classification ID: 17A36
zbMATH DE Number: 5716976
zbMATH Keywords: Cauchy-Rassias stability
zbMATH Keywords: \(C^*\)-algebra homomorphism
zbMATH Keywords: Poisson \(C^*\)-algebra homomorphism
zbMATH Keywords: Poisson Banach module over Poisson \(C^*\)-algebra
zbMATH Keywords: Poisson J\(C^*\)-algebra homomorphism
zbMATH Keywords: generalized Jensen type functional equation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5716976