On the reflexivity of pairs of isometries and of tensor products of some operator algebras

Marek Ptak

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Mustafayev, H.S. (1996)

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Reflexivity of isometries

Wing-Suet Li, John McCarthy (1997)

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We prove that any set of commuting isometries on a separable Hilbert space is reflexive.

Erratum to the paper "On the reflexivity of pairs of isometries and of tensor products of some reflexive algebras" (Studia Math. 83 (1986), 47-55)

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A gap in the proof of [4, Theorem 1] is removed.

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CONTENTS1. Introduction...................................................................................................52. N-tuples of linear transformations in finite-dimensional space......................83. Toeplitz operators on the polydisc and the unit ball....................................184. Subspaces of weighted shifts.....................................................................235. Joint spectra for N-tuples of operators........................................................276....