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The algebra generated by a pair of operator weighted shifts

Marek Ptak (1995)

Annales Polonici Mathematici

We present a model for two doubly commuting operator weighted shifts. We also investigate general pairs of operator weighted shifts. The above model generalizes the model for two doubly commuting shifts. WOT-closed algebras for such pairs are described. We also deal with reflexivity for such pairs assuming invertibility of operator weights and a condition on the joint point spectrum.

Unitary asymptotes of Hilbert space operators

László Kérchy (1994)

Banach Center Publications

In this survey article we are going to present the effectiveness of the use of unitary asymptotes in the study of Hilbert space operators.

Unitary equivalence of operators and dilations

Chafiq Benhida (2004)

Studia Mathematica

Given two contractions T and T' such that T'-T is an operator of finite rank, we prove, under some conditions, the unitary equivalence of the unitary parts of the minimal isometric dilations (respectively minimal co-isometric extensions) of T and T'.

Currently displaying 61 – 80 of 106