Displaying similar documents to “On the reflexivity of pairs of isometries and of tensor products of some operator algebras”

Reflexivity of isometries

Wing-Suet Li, John McCarthy (1997)

Studia Mathematica

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

On the reflexivity of multigenerator algebras

Ptak Marek

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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....

Quasinormal operators are hyperreflexive

Kamila Kliś, Marek Ptak (2005)

Banach Center Publications

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We will prove the statement in the title. We also give a better estimate for the hyperreflexivity constant for an analytic Toeplitz operator.

On the reflexivity and hyperreflexivity of algebras and subspaces

Marek Ptak (2007)

Banach Center Publications

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A review of recent reflexivity and hyperreflexivity results is presented. We concentrate particularly on a finite-dimensional situation, Toeplitz operators and partial isometries. Open problems in this area are given.