Isomorphism of uniform algebras on the 2-torus

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dc.contributor.advisor Justin Peters
dc.contributor.author Sanyatit, Preechaya
dc.contributor.department Mathematics
dc.date 2018-08-11T07:49:27.000
dc.date.accessioned 2020-06-30T03:08:02Z
dc.date.available 2020-06-30T03:08:02Z
dc.date.copyright Fri Jan 01 00:00:00 UTC 2016
dc.date.embargo 2001-01-01
dc.date.issued 2016-01-01
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>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/etd/16008/
dc.identifier.articleid 7015
dc.identifier.contextkey 11169528
dc.identifier.doi https://doi.org/10.31274/etd-180810-5635
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath etd/16008
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/30191
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/etd/16008/Sanyatit_iastate_0097E_16210.pdf|||Fri Jan 14 20:53:50 UTC 2022
dc.subject.disciplines Mathematics
dc.title Isomorphism of uniform algebras on the 2-torus
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48
thesis.degree.discipline Mathematics
thesis.degree.level dissertation
thesis.degree.name Doctor of Philosophy
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