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Stability of functional equations in Banach algebras [electronic resource] / Yeol Je Cho, Choonkil Park, Themistocles M. Rassias, Reza Saadati.

9783319187082 electronic book
3319187082 electronic book
9783319187075

Cham : Springer, [2015]

©2015

English

1 online resource

10.1007/978-3-319-18708-2 doi

QA326

512/.554

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed June 29, 2015).

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