MS (Master of Science)
Date of Award
Committee Chair or Co-Chairs
Jeff R. Knisley
Anant P. Godbole, Robert B. Gardner
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.
Thesis - Open Access
Teguia, Alberto Mokak, "Extensions of the Cayley-Hamilton Theorem with Applications to Elliptic Operators and Frames." (2005). Electronic Theses and Dissertations. Paper 1024. http://dc.etsu.edu/etd/1024
Copyright by the authors.