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Stability of functional equations in...

Cho, Yeol Je.

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Stability of functional equations in Banach algebras

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Stability of functional equations in Banach algebras/ by Yeol Je Cho ... [et al.].
other author:	Cho, Yeol Je.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xiv, 343 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Banach algebras. -
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:

594710
Banach algebras.

LC Class. No.: QA326

Dewey Class. No.: 512.554

Stability of functional equations in Banach algebras
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020 $a 9783319187082 (electronic bk.)
020 $a 9783319187075 (paper)
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035 $a 978-3-319-18708-2
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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 0 $a Banach algebras. $3 594710
650 0 $a Functional equations. $3 576213
650 0 $a Functional analysis. $3 531838
650 0 $a Random operators. $3 706167
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Difference and Functional Equations. $3 897290
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Ordinary Differential Equations. $3 891264
700 1 $a Cho, Yeol Je. $3 1956934
710 2 $a SpringerLink (Online service) $3 836513
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)