Abstract/Details

Sequence algebras of continuous functions


2003 2003

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Abstract (summary)

The focus of this thesis is the study of the properties of the maximal ideal space of a sequence algebra of continuous functions. The results obtained concern both the topological and the analytic structure of this space. It turns out that the structure of the maximal ideal space of such an algebra resembles the structure of the maximal ideal space of H. As one can expect, this parallelism goes further when the sequence algebra of continuous functions is [special characters omitted], the algebra of bounded sequences of functions belonging to the disc algebra [special characters omitted]. Given this parallelism; the tool that we used is the fibering of the maximal ideal space of the sequence algebra. For the particular case of [special characters omitted] we combined this with the use of the properties of sequences of finite Blaschke products. In this manner, we obtained results concerning the size of these fibers and their connectedness in the general case, as well as a description of the analytic structure of the maximal ideal space of [special characters omitted].

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; Continuous functions; Sequence algebras
Title
Sequence algebras of continuous functions
Author
Bulancea, Gabriela
Number of pages
87
Publication year
2003
Degree date
2003
School code
0056
Source
DAI-B 64/08, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
Advisor
Sidney, Stuart Jay
University/institution
University of Connecticut
University location
United States -- Connecticut
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3101675
ProQuest document ID
305341340
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/305341340/abstract
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