Title page for ETD etd-05082006-221127


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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