Bounded point evaluations for cyclic Hilbert space operators

<p>In this talk, to be given at a conference at Seconda Università degli Studi di Napoli in September 2001, we shall describe the set of analytic bounded point evaluations for an arbitrary cyclic bounded linear operator T on a Hilbert space H and shall answer some questions due to L. R. Williams.</p>

On the largest analytic set for cyclic operators

We describe the set of analytic bounded point evaluations for an arbitrary cyclic bounded linear operatorTon a Hilbert spaceℋ; 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.