Dissertation/Thesis Abstract

The Jacobson radical of semicrossed products of the disk algebra
by Khemphet, Anchalee, Ph.D., Iowa State University, 2012, 42; 3511422
Abstract (Summary)

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.

Indexing (document details)
Advisor: Peters, Justin
Commitee: Hansen, Scott, Nordman, Dan, Sacks, Paul, Song, Sung-Yell
School: Iowa State University
Department: Mathematics
School Location: United States -- Iowa
Source: DAI-B 73/10(E), Dissertation Abstracts International
Subjects: Applied Mathematics, Mathematics
Keywords: Disk algebra, Fourier coefficient, Jacobson radical, Semicrossed products
Publication Number: 3511422
ISBN: 978-1-267-39185-8
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