Bounded Point Evaluations and Local Spectral Theory

Details Bounded Point Evaluations and Local Spectral Theory Bounded Point Evaluations and Local Spectral Theory

2000-08-25

arxiv.org/abs/math/0008197v1

Mathematics

Functional Analysis

44pp, diploma thesis

Scientific paper

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.

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