大葉大學圖書館 |

Stability of functional equations in Banach algebras[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	512.554
書名/作者:	Stability of functional equations in Banach algebras/ by Yeol Je Cho ... [et al.].
其他作者:	Cho, Yeol Je.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	xiv, 343 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Banach algebras.
標題:	Functional equations.
標題:	Functional analysis.
標題:	Random operators.
標題:	Mathematics.
標題:	Difference and Functional Equations.
標題:	Operator Theory.
標題:	Ordinary Differential Equations.
ISBN:	9783319187082 (electronic bk.)
ISBN:	9783319187075 (paper)
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-18708-2

Stability of functional equations in Banach algebras[electronic resource] /
Stability of functional equations in Banach algebras[electronic resource] /by Yeol Je Cho ... [et al.]. - Cham :Springer International Publishing :2015. - xiv, 343 p. :ill., digital ;24 cm.

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.

ISBN: 9783319187082 (electronic bk.)

Standard No.: 10.1007/978-3-319-18708-2doiSubjects--Topical Terms:

627603
Banach algebras.

LC Class. No.: QA326

Dewey Class. No.: 512.554

Stability of functional equations in Banach algebras[electronic resource] /
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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.
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650 0 $a Random operators. $3 627604
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650 2 4 $a Ordinary Differential Equations. $3 465742
700 1 $a Cho, Yeol Je. $3 609170
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