Theory of Approximate Functional Equations in Banach algebras inner product spaces and amenable groups 1st Edition by Madjid Eshaghi Gordji, Sadegh Abbaszadeh 012803971X 9780128039717

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Product details:

ISBN 10: 012803971X 

ISBN 13: 9780128039717

Author: Madjid Eshaghi Gordji, Sadegh Abbaszadeh

Presently no other book deals with the stability problem of functional equations in Banach algebras, inner product spaces and amenable groups. Moreover, in most stability theorems for functional equations, the completeness of the target space of the unknown functions contained in the equation is assumed. Recently, the question, whether the stability of a functional equation implies this completeness, has been investigated by several authors.

In this book the authors investigate these developments in the theory of approximate functional equations.

• A useful text for graduate seminars and of interest to a wide audience including mathematicians and applied researchers.
• Presents recent developments in the theory of approximate functional equations.

• Discusses the stability problem of functional equations in Banach algebras, inner product spaces and amenable groups.

Table of contents:

1. Introduction

2. Approximate Cauchy Functional Equations and Completeness

3. Stability of Mixed Type Functional Equations

4. Stability of Functional Equations in Banach Algebras

5. Stability of Functional Equations in Inner Product Spaces

6. Amenability of Groups (Semigroups) and the Stability of Functional Equations

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Tags: Madjid Eshaghi Gordji, Sadegh Abbaszadeh, Approximate, Functional