Degree Type

Dissertation

Date of Award

2016

Degree Name

Doctor of Philosophy

Department

Mathematics

Major

Mathematics

First Advisor

Justin Peters

Abstract

For \alpha a positive irrational, we consider the uniform subalgebra A_\alpha of C(T^2) consisting of those functions f satisfying \hat{f}(m,n)=0 whenever m+n\alpha<0. For positive irrationals \alpha, \beta, we determine when A_\alpha and A_\beta are isometrically isomorphic. Furthermore, we describe the group Aut(A_\alpha) of isometric automorphisms of A_\alpha. Finally we show how an explicit representation of Aut(A_\alpha) can be derived from Pell's equations.

DOI

https://doi.org/10.31274/etd-180810-5635

Copyright Owner

Preechaya Sanyatit

Language

en

File Format

application/pdf

File Size

55 pages

Included in

Mathematics Commons

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