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Stability of Functional Equations in Banach Algebras (Hardcover, 2015 ed.)
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Stability of Functional Equations in Banach Algebras (Hardcover, 2015 ed.)
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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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