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Topics in Banach spaces.

by Ho Wing Man. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1997. / Includes bibliographical references (leaves 85). / Introduction --- p.1 / Chapter 1 --- Preliminaries --- p.3 / Chapter 1.1 --- Gateaux and Frechet Differentiability --- p.4 / Chapter 1.2 --- β-Differentiability --- p.9 / Chapter 1.3 --- Monotone Operators and Usco Maps --- p.14 / Chapter 2 --- Variational Principle --- p.25 / Chapter 2.1 --- A Generalized Variational Principle --- p.27 / Chapter 2.2 --- A Smooth Variational Principle --- p.37 / Chapter 3 --- Differentiability of Convex Functions --- p.47 / Chapter 3.1 --- On Banach Spaces with β-Smooth Bump Functions --- p.48 / Chapter 3.2 --- A Characterization of Asplund Spaces --- p.64 / Chapter 4 --- More on Differentiability --- p.70 / Chapter 4.1 --- Introduction --- p.70 / Chapter 4.2 --- Differentiability Theorems --- p.75

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_321943
Date January 1997
ContributorsHo, Wing Man., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish
Detected LanguageEnglish
TypeText, bibliography
Formatprint, iii, 85 leaves ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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