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Survey on the theory of Banach lattices.

by Ming-Wai Cheung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1992. / Includes bibliographical references (leaves 64-65). / Introduction --- p.1 / Chapter Chapter 0. --- Notations and Preliminaries --- p.3 / Chapter 0.0. --- Bornologies / Chapter 0.1. --- Ordered Vector Spaces / Chapter 0.2. --- Vector Lattices / Chapter 0.3. --- Substructures of vector lattices and Order Completeness / Chapter 0.4. --- Banach Lattices / Chapter 0.5. --- AL- and AM- spaces / Chapter 0.6. --- Operator Modules and Ideal Cones / Chapter Chapter 1. --- Tensor Products of Ordered Banach Spaces --- p.25 / Chapter Chapter 2. --- Positive Approximation Property --- p.30 / Chapter 2.1. --- Approximation Properties in LCS / Chapter 2.2. --- Approximation Properties in Banach Spaces / Chapter 2.3. --- Positive Approximation Properties in Locally Solid Spaces / Chapter 2.4. --- Positive A.P. in Locally Solid OBS and Banach Lattices / Chapter Chapter 3. --- Order Bounded Bornologies of Banach Lattices --- p.49 / Chapter 3.1. --- Characterizations of B-Lattices by the Order-Bounded Bornologies / Chapter 3.2. --- Order-Bounded-Compact Property of Banach Lattices / References --- p.64 / Notations --- p.67

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_319019
Date January 1992
ContributorsCheung, Ming-Wai., Chinese University of Hong Kong Graduate School. Division of Mathematics.
PublisherChinese University of Hong Kong
Source SetsThe Chinese University of Hong Kong
LanguageEnglish
Detected LanguageEnglish
TypeText, bibliography
Formatprint, [4], 68 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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