Abstract
dc:description.abstract<p>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.</p>
Degree
thesis:*- Name thesis:degree_name
- Doctor of Philosophy
- Level thesis:degree_level
- dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Department dc:contributor.department
- Department of Mathematics
- Year dc:date.issued
- 2016
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Sanyatit, Preechaya
- Advisor dc:contributor.advisor
-
- Justin Peters
Rights
- Language dc:language.iso
- en
Identifiers
dc:identifier.*- Identifier
- archive/lib.dr.iastate.edu/etd/16008/
- OAI identifier oai:identifier
- oai:dr.lib.iastate.edu:20.500.12876/30191