Degree Type

Dissertation

Date of Award

2012

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Justin Peters

Abstract

In this thesis, we characterize the Jacobson radical of the semicrossed product of the disk algebra by an endomorphism which is defined by the composition with a finite Blaschke product. Precisely, the Jacobson radical is the set of those whose 0th Fourier coefficient is identically zero and whose kth Fourier coefficient vanishes on the set of recurrent points of a finite Blaschke product. Moreover, if a finite Blaschke product is elliptic, i.e., it has a fixed point in the open unit disc, then the Jacobson radical coincides with the set of quasinilpotent elements.

Copyright Owner

Anchalee Khemphet

Language

en

Date Available

2012-10-31

File Format

application/pdf

File Size

42 pages

Included in

Mathematics Commons

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