Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems

Language: English

Published by Springer, Springer Sep 1990, 1990

0792309103 / 9780792309109

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This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 278 pp. Englisch.

Seller Inventory # 9780792309109

Title
Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems
Author
I. Cioranescu
Publisher
Springer, Springer Sep 1990
Publication year
1990
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0792309103
ISBN 13
9780792309109
Item weight
585 grams
Dimensions
241x160x20 mm

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