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Stability of functional equations in Banach algebras [electronic resource]

Stability of functional equations in Banach algebras [electronic resource]

자료유형
E-Book(소장)
개인저자
Cho, Yeol Je.
서명 / 저자사항
Stability of functional equations in Banach algebras [electronic resource] / Yeol Je Cho ... [et al.].
발행사항
Cham :   Springer International Publishing :   Imprint: Springer,   2015.  
형태사항
1 online resource (xiv, 343 p.).
ISBN
9783319187082
요약
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.
일반주기
Title from e-Book title page.  
내용주기
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.
서지주기
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
일반주제명
Banach algebras. Functional equations. Functional analysis. Random operators.
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001 000046037858
005 20200727162020
006 m d
007 cr
008 200723s2015 sz ob 001 0 eng d
020 ▼a 9783319187082
040 ▼a 211009 ▼c 211009 ▼d 211009
050 4 ▼a QA431
082 0 4 ▼a 512.6 ▼2 23
084 ▼a 512.6 ▼2 DDCK
090 ▼a 512.6
245 0 0 ▼a Stability of functional equations in Banach algebras ▼h [electronic resource] / ▼c Yeol Je Cho ... [et al.].
260 ▼a Cham : ▼b Springer International Publishing : ▼b Imprint: Springer, ▼c 2015.
300 ▼a 1 online resource (xiv, 343 p.).
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
505 0 ▼a 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.
520 ▼a 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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Banach algebras.
650 0 ▼a Functional equations.
650 0 ▼a Functional analysis.
650 0 ▼a Random operators.
700 1 ▼a Cho, Yeol Je.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-3-319-18708-2
945 ▼a KLPA
991 ▼a E-Book(소장)

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