Bounded Point Evaluations and Local Spectral Theory
Functional Analysis
2007-05-23 v1 Spectral Theory
Abstract
We study in this paper the concept of bounded point evaluations for cyclic operators. We give a negative answer to a question of L.R. Williams {\it Dynamic Systems and Apllications} 3(1994) 103-112. Furthermore, we generalize some results of Williams and give a simple proof of theorem 2.5 of L.R. Williams (The Local Spectra of Pure Quasinormal Operators J. Math. anal. Appl. 187(1994) 842-850) that non normal hyponormal weighted shifts have fat local spectra.
Cite
@article{arxiv.math/0008197,
title = {Bounded Point Evaluations and Local Spectral Theory},
author = {Abdellatif Bourhim},
journal= {arXiv preprint arXiv:math/0008197},
year = {2007}
}
Comments
44pp, diploma thesis