Overview
- 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 algebras
- Provides a survey of the latest results on various topics of stability theory
- Accessible to students with a basic background in operator theory and functional equations and inequalities
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About this book
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.
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Bibliographic Information
Book Title: Stability of Functional Equations in Banach Algebras
Authors: Yeol Je Cho, Choonkil Park, Themistocles M. Rassias, Reza Saadati
DOI: https://doi.org/10.1007/978-3-319-18708-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-18707-5Published: 10 July 2015
Softcover ISBN: 978-3-319-38464-1Published: 17 October 2016
eBook ISBN: 978-3-319-18708-2Published: 26 June 2015
Edition Number: 1
Number of Pages: XIV, 343
Topics: Difference and Functional Equations, Operator Theory, Ordinary Differential Equations