On the largest analytic set for cyclic operators

A. Bourhim

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-11

Abstract:

We describe the set of analytic bounded point evaluations for an arbitrary cyclic bounded linear operator T on a Hilbert space ℋ ; some related consequences are discussed. Furthermore, we show that two densely similar cyclic Banach-space operators possessing Bishop's property ( β ) have equal approximate point spectra.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:575039

DOI: 10.1155/S0161171203209042

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