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Stability of Functional Equations in Banach Algebras

von: Yeol Je Cho, Choonkil Park, Themistocles M. Rassias, Reza Saadati
CHF 59.00
Verlag:	Springer
Format:	PDF
Veröffentl.:	26.06.2015
ISBN/EAN:	9783319187082
Sprache:	englisch

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Beschreibungen

Titelbeschreibung

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.

Inhaltsverzeichnis

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.

Back cover copy

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.

Sonderbeitrag

Presents recent results on homomorphisms and derivations in Banach algebras, quasi-Banach algebras, C*-algebras, C*-Ternary algebras, non-Archimedean Banach algebras, and multi-normed algebrasProvides a survey of the latest results on various topics of stability theoryAccessible to students with a basic background in operator theory and functional equations and inequalities