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Stability of functional equations in...

Cho, Yeol Je.

Stability of functional equations in Banach algebras

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stability of functional equations in Banach algebrasby Yeol Je Cho ... [et al.].
other author:	Cho, Yeol Je.
Published:	Cham :Springer International Publishing :2015.
Description:	xiv, 343 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Operator Theory.
Online resource:	http://dx.doi.org/10.1007/978-3-319-18708-2
ISBN:	9783319187082 (electronic bk.)

Stability of functional equations in Banach algebras
Stability of functional equations in Banach algebras[electronic resource] /by Yeol Je Cho ... [et al.]. - Cham :Springer International Publishing :2015. - xiv, 343 p. :ill., digital ;24 cm.

1. Introduction. - 2. Stability of Functional Equations in Banach Algebras -- 3. Stability of Functional Equations in C*-Algebras. - 4. Stability of Functional Inequalities in Banach Algebras. - 5. Stability of Functional Equations in C*-Ternary Algebras. - 6. Stability of Functional Equations in Multi-Banach Algebras. - 7. Stability of Functional Equations in Non-Archimedean Banach Algebras -- References -- Index.

Some of the most recent and significant results on homomorphisms and derivations in Banach algebras, quasi-Banach algebras, C*-algebras, C*-ternary algebras, non-Archimedean Banach algebras and multi-normed algebras are presented in this book. A brief introduction for functional equations and their stability is provided with historical remarks. Since the homomorphisms and derivations in Banach algebras are additive and R-linear or C-linear, the stability problems for additive functional equations and additive mappings are studied in detail. The latest results are discussed and examined in stability theory for new functional equations and functional inequalities in Banach algebras and C*-algebras, non-Archimedean Banach algebras, non-Archimedean C*-algebras, multi-Banach algebras and multi-C*-algebras. Graduate students with an understanding of operator theory, functional analysis, functional equations and analytic inequalities will find this book useful for furthering their understanding and discovering the latest results in mathematical analysis. Moreover, research mathematicians, physicists and engineers will benefit from the variety of old and new results, as well as theories and methods presented in this book.

ISBN: 9783319187082 (electronic bk.)

Standard No.: 10.1007/978-3-319-18708-2doiSubjects--Topical Terms:

274795
Operator Theory.

LC Class. No.: QA326

Dewey Class. No.: 512.554

Stability of functional equations in Banach algebras
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245 0 0 $a Stability of functional equations in Banach algebras $h [electronic resource] / $c by Yeol Je Cho ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xiv, 343 p. : $b ill., digital ; $c 24 cm.
505 0 $a 1. Introduction. - 2. Stability of Functional Equations in Banach Algebras -- 3. Stability of Functional Equations in C*-Algebras. - 4. Stability of Functional Inequalities in Banach Algebras. - 5. Stability of Functional Equations in C*-Ternary Algebras. - 6. Stability of Functional Equations in Multi-Banach Algebras. - 7. Stability of Functional Equations in Non-Archimedean Banach Algebras -- References -- Index.
520 $a Some of the most recent and significant results on homomorphisms and derivations in Banach algebras, quasi-Banach algebras, C*-algebras, C*-ternary algebras, non-Archimedean Banach algebras and multi-normed algebras are presented in this book. A brief introduction for functional equations and their stability is provided with historical remarks. Since the homomorphisms and derivations in Banach algebras are additive and R-linear or C-linear, the stability problems for additive functional equations and additive mappings are studied in detail. The latest results are discussed and examined in stability theory for new functional equations and functional inequalities in Banach algebras and C*-algebras, non-Archimedean Banach algebras, non-Archimedean C*-algebras, multi-Banach algebras and multi-C*-algebras. Graduate students with an understanding of operator theory, functional analysis, functional equations and analytic inequalities will find this book useful for furthering their understanding and discovering the latest results in mathematical analysis. Moreover, research mathematicians, physicists and engineers will benefit from the variety of old and new results, as well as theories and methods presented in this book.
650 2 4 $a Operator Theory. $3 274795
650 2 4 $a Ordinary Differential Equations. $3 273778
650 0 $a Banach algebras. $3 247399
650 0 $a Functional equations. $3 183270
650 0 $a Functional analysis. $3 200585
650 0 $a Random operators. $3 726889
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Difference and Functional Equations. $3 274826
700 1 $a Cho, Yeol Je. $3 716921
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-18708-2
950 $a Mathematics and Statistics (Springer-11649)