Theory of Approximate Functional Equations

Theory of Approximate Functional Equations : In Banach Algebras, Inner Product Spaces and Amenable Groups

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Description

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.
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Product details

  • Hardback | 148 pages
  • 152 x 229 x 12.7mm | 280g
  • Academic Press Inc
  • San Diego, United States
  • English
  • black & white illustrations
  • 0128039205
  • 9780128039205

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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About Sadegh Abbaszadeh

Full Professor of Mathematics, Editor in chief of "International Journal of Nonlinear Analysis and Applications" Editor in chief of "Asian Journal of Scientific Research" Ph.D in Mathematics
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