Linear functional equations in Banach modules over a \(C^*\)-algebra
type: Item
instance of: scholarly article
title: Linear functional equations in Banach modules over a \(C^*\)-algebra
zbMATH Open document ID: 1053.39044
DOI: 10.1023/A:1024014026789
author: Choonkil Park
published in: Acta Applicandae Mathematicae
publication date: 2003-08-21T00:00:00Z
review text: This paper is a survey of recent results on the Ulam-Hyers-Rassias stability of linear functional equations in Banach modules over a \(C^*\)-algebra. The reader may find the results concerning the stability of the following equations: Cauchy functional equation, Jensen functional equation, Trif functional equation, cyclic functional equation and some applications. The methods applied are standard, mainly based on some ideas of Hyers and Rassias. The reader may find more information in the book of the reviewer [Functional equations and inequalities in several variables (World Scientific, Singapore) (2002; Zbl 1011.39019)].
reviewed by: Stefan Czerwik
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 47B48
Mathematics Subject Classification ID: 46L05
zbMATH DE Number: 1968883
zbMATH Keywords: linear functional equations
zbMATH Keywords: Ulam-Hyers-Rassias stability
zbMATH Keywords: Banach module over \(C^*\)-algebra
zbMATH Keywords: unitary group
zbMATH Keywords: cyclic functional equation
zbMATH Keywords: approximate algebra homomorphism
zbMATH Keywords: Cauchy functional equation
zbMATH Keywords: Jensen functional equation
zbMATH Keywords: Trif functional equation
MaRDI profile type: Publication
full work available at URL: a:1024014026789
OpenAlex ID: W45247531
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description: scientific article; zbMATH DE number 1968883