Type of Document	Master's Thesis
Author	Ordonez-Delgado, Bartleby
Author's Email Address	bartod@vt.edu
URN	etd-05082006-221127
Title	Algebras of Toeplitz Operators
Degree	Master of Science
Department	Mathematics
Advisory Committee	Advisor Name Title Haskell, Peter E. Committee Chair Ball, Joseph A. Committee Member Rossi, John F. Committee Member
Keywords	C*-algebras Toeplitz operators
Date of Defense	2006-05-03
Availability	unrestricted
Abstract In this work we examine C*-algebras of Toeplitz operators over the unit ball in C^n and the unit polydisc in C^2. Toeplitz operators are interesting examples of non-normal operators that generate non-commutative C*-algebras. Moreover, in the nice cases (depending on the geometry of the domain) of algebras of Toeplitz operators we can recover some analogues of the spectral theorem up to compact operators. In this setting, we can capture the index of a Fredholm operator which is a fundamental numerical invariant in Operator Theory.
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