Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

8-2005

Committee Chair or Co-Chairs

Jeff R. Knisley

Committee Members

Anant P. Godbole, Robert B. Gardner

Abstract

The Cayley-Hamilton Theorem is an important result in the study of linear transformations over finite dimensional vector spaces. In this thesis, we show that the Cayley-Hamilton Theorem can be extended to self-adjoint trace-class operators and to closed self-adjoint operators with trace-class resolvent over a separable Hilbert space. Applications of these results include calculating operators resolvents and finding the inverse of a frame operator.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

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