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＜E-Book＞
Stability of Functional Equations in Banach Algebras / by Yeol Je Cho, Choonkil Park, Themistocles M. Rassias, Reza Saadati

Edition	1st ed. 2015.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2015
Language	English
Size	XIV, 343 p : online resource
Authors	*Cho, Yeol Je author Park, Choonkil author Rassias, Themistocles M author Saadati, Reza author SpringerLink (Online service)
Subjects	LCSH:Difference equations LCSH:Functional equations LCSH:Operator theory LCSH:Differential equations FREE:Difference and Functional Equations FREE:Operator Theory FREE:Differential Equations
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-319-18708-2

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