Bounded Point Evaluations and Local Spectral Theory

2000/08/25 by Abdellatif Bourhim, Bourhim, Abdellatif · 1 citation
Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Primary 47A10 #Secondary 47B20 #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math.FA #math.SP #msc:47A10 #msc:47B20

paper · pdf · doi:10.48550/arxiv.math/0008197

44pp, diploma thesis

arxiv created 2000/08/25 · openalex publication_date 2000/08/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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