Stability of Functional Equations in Banach Algebras

  • Yeol Je Cho
  • Choonkil Park
  • Themistocles M. Rassias
  • Reza Saadati

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Yeol Je Cho, Choonkil Park, Themistocles M. Rassias, Reza Saadati
    Pages 1-17
  3. Yeol Je Cho, Choonkil Park, Themistocles M. Rassias, Reza Saadati
    Pages 19-50
  4. Yeol Je Cho, Choonkil Park, Themistocles M. Rassias, Reza Saadati
    Pages 51-163
  5. Yeol Je Cho, Choonkil Park, Themistocles M. Rassias, Reza Saadati
    Pages 165-199
  6. Yeol Je Cho, Choonkil Park, Themistocles M. Rassias, Reza Saadati
    Pages 201-228
  7. Yeol Je Cho, Choonkil Park, Themistocles M. Rassias, Reza Saadati
    Pages 229-301
  8. Yeol Je Cho, Choonkil Park, Themistocles M. Rassias, Reza Saadati
    Pages 303-326
  9. Back Matter
    Pages 327-343

About this book

Introduction

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.

Keywords

Cauchy-Jensen functional equations Mazur-Ulam theorem functional inequalities homomorphisms multi-normed algebras quasi-Banach algebras

Authors and affiliations

  • Yeol Je Cho
    • 1
  • Choonkil Park
    • 2
  • Themistocles M. Rassias
    • 3
  • Reza Saadati
    • 4
  1. 1.Department of Mathematics Education and the RINSGyeongsang National University College of EducationJinjuKorea, Republic of (South Korea)
  2. 2.Department of MathematicsHanyang UniversitySeoulKorea, Republic of (South Korea)
  3. 3.Department of MathematicsNational Technical University of AthensAthensGreece
  4. 4.Department of MathematicsIran University of Science and TechTehranIran

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-18708-2
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-18707-5
  • Online ISBN 978-3-319-18708-2
  • About this book
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