Theory of Approximate Functional Equations

In Banach Algebras, Inner Product Spaces and Amenable Groups

Nonfiction, Science & Nature, Mathematics, Functional Analysis
Cover of the book Theory of Approximate Functional Equations by Madjid Eshaghi Gordji, Sadegh Abbaszadeh, Elsevier Science
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Author: Madjid Eshaghi Gordji, Sadegh Abbaszadeh ISBN: 9780128039717
Publisher: Elsevier Science Publication: March 3, 2016
Imprint: Academic Press Language: English
Author: Madjid Eshaghi Gordji, Sadegh Abbaszadeh
ISBN: 9780128039717
Publisher: Elsevier Science
Publication: March 3, 2016
Imprint: Academic Press
Language: English

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
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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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