Dissertation/Thesis Abstract

The extreme points of symmetric norms on R2
by Khemphet, Anchalee, M.S., Iowa State University, 2008, 47; 1461970
Abstract (Summary)

Let CG be a set of symmetric norms on [special characters omitted] such that p(0, 1) = p(1, 0) = 1 for any norm p in CG. Our questions are: Do the extreme points of CG exist? What are all the extreme points of CG? To answer these questions, compactness plays an important role in completing the sufficient conditions of known theorems. Results show that C G has extreme points and all its extreme points are found.

Indexing (document details)
Advisor: Peters, Justin
Commitee: Athreya, Krishna, Sacks, Paul
School: Iowa State University
Department: Mathematics
School Location: United States -- Iowa
Source: MAI 47/04M, Masters Abstracts International
Subjects: Mathematics
Publication Number: 1461970
ISBN: 978-1-109-78248-6
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