Degree Type

Thesis

Date of Award

2008

Degree Name

Master of Science

Department

Mathematics

First Advisor

Justin Peters

Abstract

Let CG be a set of symmetric norms on R2 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 CG has extreme points and all

its extreme points are found.

DOI

https://doi.org/10.31274/etd-180810-966

Copyright Owner

Anchalee Khemphet

Language

en

Date Available

2012-04-30

File Format

application/pdf

File Size

47 pages

Included in

Mathematics Commons

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