Note:

Because lattice theory is so vast, the primary purpose of this paper will be to present some of the general properties of lattices, exhibit examples of lattices, and discuss the properties of distributive and modular 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

Thesis--Ph. D., University of Hong Kong, 1984.

Thesis--M. Phil., University of Hong Kong, 1982.

published_or_final_version / Physics / Master / Master of Philosophy

published_or_final_version / Physics / Doctoral / Doctor of Philosophy

No description available.

This thesis examines pseudo-groups and complex groupable lattices.

No description available.