On the reflexivity of pairs of isometries and of tensor products of some operator algebras
Marek Ptak (1986)
Studia Mathematica
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Marek Ptak (1986)
Studia Mathematica
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Richard Lechner (2013)
Bulletin of the Polish Academy of Sciences. Mathematics
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We obtain a representation as martingale transform operators for the rearrangement and shift operators introduced by T. Figiel. The martingale transforms and the underlying sigma algebras are obtained explicitly by combinatorial means. The known norm estimates for those operators are a direct consequence of our representation.
Bernard Morrel, Paul Muhly (1974)
Studia Mathematica
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Sameer Chavan (2008)
Studia Mathematica
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We introduce and discuss a class of operators, to be referred to as operators close to isometries. The Bergman-type operators, 2-hyperexpansions, expansive p-isometries, and certain alternating hyperexpansions are main examples of such operators. We establish a few decomposition theorems for operators close to isometries. Applications are given to the theory of p-isometries and of hyperexpansive operators.
Lavon Page (1982)
Banach Center Publications
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L. A. Coburn, R. G. Douglas (1971)
Publications Mathématiques de l'IHÉS
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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.
K. Rudol (1997)
Banach Center Publications
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(1996)
Studia Mathematica
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Putnam, C.R. (1981)
International Journal of Mathematics and Mathematical Sciences
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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....
James Rovnyak (1982)
Banach Center Publications
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