Thesis (Ph.D.)--Ohio University, August, 2009. / Release of full electronic text on OhioLINK has been delayed until September 1, 2012. Includes bibliographical references (leaves 110-113)

Thesis (Ph.D.)--Ohio University, August, 2009. / Title from PDF t.p. Release of full electronic text on OhioLINK has been delayed until September 1, 2012. Includes bibliographical references (leaves 110-113)

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The aim of this thesis is to prove the existence of the Shilov boundary and the minimal boundary with respect to some function algebras and investigate their topological structures. / Science, Faculty of / Mathematics, Department of / Graduate

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Thesis (Ph.D.)--Ohio University, June, 2009. / Includes bibliographical references (leaves 146-149)

Thesis (Ph.D.)--Ohio University, June, 2009. / Title from PDF t.p. Includes bibliographical references (leaves 146-149)

by Chi-keung Ng. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1991. / Includes bibliographical references. / Introduction --- p.1 / Chapter Chapter 0. --- Preliminary --- p.4 / Chapter 0.1 --- Topological vector spaces / Chapter 0.2 --- Ordered vector spaces / Chapter 0.3 --- Ordered normed spaces / Chapter 0.4 --- Ordered topological vector spaces / Chapter 0.5 --- Ordered bornological vector spaces / Chapter Chapter 1. --- Results on Ordered Normed Spaces --- p.23 / Chapter 1.1 --- Results on e∞-spaces and e1-spaces / Chapter 1.2 --- Complemented subspaces of ordered normed spaces / Chapter 1.3 --- Half injections and Half surjections / Chapter 1.4 --- Strict quotients and strict subspaces / Chapter Chapter 2. --- Helley's Selection Theorem and Local Reflexivity Theorem of order type --- p.55 / Chapter 2.1 --- Helley's selection theorem of order type / Chapter 2.2 --- Local reflexivity theorem of order type / Chapter Chapter 3. --- Operator Modules and Ideal Cones --- p.68 / Chapter 3.1 --- Operator modules and ideal cones / Chapter 3.2 --- Space cones and space modules / Chapter 3.3 --- Injectivity and surjectivity / Chapter 3. 4 --- Dual and pre-dual / Chapter Chapter 4. --- Topologies and Bornologies Defined by Operator Modules and Ideal Cones --- p.95 / Chapter 4.1 --- Generalized polars / Chapter 4.2 --- Topologies and bornologies defined by β and ε / Chapter 4. 3 --- Injectivity and generating topologies / Chapter 4.4 --- Surjectivity and generating bornologies / Chapter 4.5 --- The solid property and the generating topologies / Chapter 4.6 --- The solid property and the generating bornologies / Chapter Chapter 5. --- Semi-norms and Bounded disks defined by Operator Modules and Ideal Cones --- p.129 / Chapter 5.1 --- Results on semi-norms / Chapter 5.2 --- Results on bounded disks / References --- p.146 / Notations --- p.149

Yung Hon-wai. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2001. / Includes bibliographical references (leaves 133-139). / Abstracts in English and Chinese. / Chapter 0 --- Introduction --- p.1 / Chapter 1 --- Density Theorems in Vector Optimization --- p.7 / Chapter 1.1 --- Preliminary --- p.7 / Chapter 1.2 --- The Arrow-Barankin-Blackwell Theorem in Normed Spaces --- p.14 / Chapter 1.3 --- The Arrow-Barankin-Blackwell Theorem in Topolog- ical Vector Spaces --- p.27 / Chapter 1.4 --- Density Results in Dual Space Setting --- p.32 / Chapter 2 --- Density Theorem for Super Efficiency --- p.45 / Chapter 2.1 --- Definition and Criteria for Super Efficiency --- p.45 / Chapter 2.2 --- Henig Proper Efficiency --- p.53 / Chapter 2.3 --- Density Theorem for Super Efficiency --- p.58 / Chapter 3 --- Connectedness Results in Vector Optimization --- p.63 / Chapter 3.1 --- Set-valued Maps --- p.64 / Chapter 3.2 --- The Contractibility of the Efficient Point Sets --- p.67 / Chapter 3.3 --- Connectedness Results in Vector Optimization Prob- lems --- p.83 / Chapter 4 --- Error Bounds In Normed Spaces --- p.90 / Chapter 4.1 --- Error Bounds of Lower Semicontinuous Functionsin Normed Spaces --- p.91 / Chapter 4.2 --- Error Bounds of Lower Semicontinuous Convex Func- tions in Reflexive Banach Spaces --- p.100 / Chapter 4.3 --- Error Bounds with Fractional Exponents --- p.105 / Chapter 4.4 --- An Application to Quadratic Functions --- p.114 / Bibliography --- p.133