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Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems / by I. Cioranescu
(Mathematics and Its Applications ; 62)
版 | 1st ed. 1990. |
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出版者 | (Dordrecht : Springer Netherlands : Imprint: Springer) |
出版年 | 1990 |
本文言語 | 英語 |
大きさ | XIV, 260 p : online resource |
著者標目 | *Cioranescu, I author SpringerLink (Online service) |
件 名 | LCSH:Functional analysis LCSH:Operator theory LCSH:Differential equations FREE:Functional Analysis FREE:Operator Theory FREE:Differential Equations |
一般注記 | I. Subdifferentiability and Duality Mappings -- § 1. Generalities on convex functions -- § 2. The subdifferential and the conjugate of a convex function -- § 3. Smooth Banach spaces -- § 4. Duality mappings on Banach spaces -- § 5. Positive duality mappings -- Exercises -- Bibliographical comments -- II Characterizations of Some Classes of Banach Spaces by Duality Mappings -- § 1. Strictly convex Banach spaces -- § 2. Uniformly convex Banach spaces -- § 3. Duality mappings in reflexive Banach spaces -- § 4. Duality mappings in LP-spaces -- § 5. Duality mappings in Banach spaces with the property (h) and (?)1 -- Exercises -- Bibliographical comments -- III Renorming of Banach Spaces -- § 1. Classical renorming results -- § 2. Lindenstrauss’ and Trojanski’s Theorems -- Exercises -- Bibliographical comments -- IV On the Topological Degree in Finite and Infinite Dimensions -- § 1. Brouwer’s degree -- § 2. Browder-Petryshyn’s degree for A-proper mappings -- § 3. P-compact mappings -- Exercises -- Bibliographical comments -- V Nonlinear Monotone Mappings -- § 1. Demicontinuity and hemicontinuity for monotone operators -- § 2. Monotone and maximal monotone mappings -- § 3. The role of the duality mapping in surjectivity and maximality problems -- § 4. Again on subdifferentials of convex functions -- Exercises -- Bibliographical comments -- VI Accretive Mappings and Semigroups of Nonlinear Contractions -- § 1. General properties of maximal accretive mappings -- § 2. Semigroups of nonlinear contractions in uniformly convex Banach spaces -- § 3. The exponential formula of Crandall-Liggett -- § 4. The abstract Cauchy problem for accretive mappings -- § 5. Semigroups of nonlinear contractions in Hilbert spaces -- § 6. The inhomogeneous case -- Exercises -- Bibliographical comments.-References HTTP:URL=https://doi.org/10.1007/978-94-009-2121-4 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9789400921214 |
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EB00235118 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA319-329.9 DC23:515.7 |
書誌ID | 4000111002 |
ISBN | 9789400921214 |
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