Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorCioranescu, Ioana. author
TitleGeometry of Banach Spaces, Duality Mappings and Nonlinear Problems [electronic resource] / by Ioana Cioranescu
ImprintDordrecht : Springer Netherlands, 1990
Connect tohttp://dx.doi.org/10.1007/978-94-009-2121-4
Descript XIV, 260 p. online resource

CONTENT

I. Subdifferentiability and Duality Mappings -- ยง 1. Generalities on convex functions -- ยง 2. The subdifferential and the conjugate of a convex function -- ยง 3. Smooth Banach spaces -- ยง 4. Duality mappings on Banach spaces -- ยง 5. Positive duality mappings -- Exercises -- Bibliographical comments -- II Characterizations of Some Classes of Banach Spaces by Duality Mappings -- ยง 1. Strictly convex Banach spaces -- ยง 2. Uniformly convex Banach spaces -- ยง 3. Duality mappings in reflexive Banach spaces -- ยง 4. Duality mappings in LP-spaces -- ยง 5. Duality mappings in Banach spaces with the property (h) and (?)1 -- Exercises -- Bibliographical comments -- III Renorming of Banach Spaces -- ยง 1. Classical renorming results -- ยง 2. Lindenstraussโ{128}{153} and Trojanskiโ{128}{153}s Theorems -- Exercises -- Bibliographical comments -- IV On the Topological Degree in Finite and Infinite Dimensions -- ยง 1. Brouwerโ{128}{153}s degree -- ยง 2. Browder-Petryshynโ{128}{153}s degree for A-proper mappings -- ยง 3. P-compact mappings -- Exercises -- Bibliographical comments -- V Nonlinear Monotone Mappings -- ยง 1. Demicontinuity and hemicontinuity for monotone operators -- ยง 2. Monotone and maximal monotone mappings -- ยง 3. The role of the duality mapping in surjectivity and maximality problems -- ยง 4. Again on subdifferentials of convex functions -- Exercises -- Bibliographical comments -- VI Accretive Mappings and Semigroups of Nonlinear Contractions -- ยง 1. General properties of maximal accretive mappings -- ยง 2. Semigroups of nonlinear contractions in uniformly convex Banach spaces -- ยง 3. The exponential formula of Crandall-Liggett -- ยง 4. The abstract Cauchy problem for accretive mappings -- ยง 5. Semigroups of nonlinear contractions in Hilbert spaces -- ยง 6. The inhomogeneous case -- Exercises -- Bibliographical comments -- References


Mathematics Functional analysis Operator theory Partial differential equations Mathematics Functional Analysis Operator Theory Partial Differential Equations



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram