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Summary:

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.

Table of Contents:

• 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.

Contributors:

Cho, Yeol Je , author

Park, Choonkil , author

Rassias, Themistocles M., 1951- , author

Saadati, Reza , author

Languages:

English

Language Notes:

English.

Subjects:

Banach algebras

Functional equations

Functional analysis

Random operators

General Notes:

Includes bibliographical references and index.
Description based on: Online resource; title from PDF title page (SpringerLink, viewed June 29, 2015).

Physical Description:

1 online resource

Digital Characteristics:

text file

Call Numbers:

QA326 .S733 2015eb

ISBNs:

9783319187082 (electronic bk.)
3319187082 (electronic bk.)
3319187074 (print) [Invalid]
9783319187075 (print) [Invalid]
9783319187099 (print) [Invalid]
3319187090
9783319384641 (print) [Invalid]
3319384643
9783319187075 [Invalid]

Other Standard Numbers:

Digital Object Identifier: 10.1007/978-3-319-18708-2

OCLC Numbers:

912287942