### Tensor Products of Weighted Bergman Spaces and Invariant Ha-Plitz Operators.

Genkai Zhang (1992)

Mathematica Scandinavica

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Genkai Zhang (1992)

Mathematica Scandinavica

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Jörgen Löfström (1983)

Mathematica Scandinavica

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Svantje Janson (1992)

Mathematica Scandinavica

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Carl C. Cowen, Eva A. Gallardo-Gutiérrez (2016)

Concrete Operators

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The Invariant Subspace Problem for Hilbert spaces is a long-standing question and the use of universal operators in the sense of Rota has been an important tool for studying such important problem. In this survey, we focus on Rota’s universal operators, pointing out their main properties and exhibiting some old and recent examples.

Humphrey Fong (1970)

Colloquium Mathematicae

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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....

Peter Rosenthal (1982)

Banach Center Publications

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Eungil Ko (2003)

Studia Mathematica

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We study some properties of w-hyponormal operators. In particular we show that some w-hyponormal operators are subscalar. Also we state some theorems on invariant subspaces of w-hyponormal operators.

Yngve Domar (1981)

Mathematica Scandinavica

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Carmen H. Mancera, Pedro José Paúl (2001)

Czechoslovak Mathematical Journal

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In 1997 Pták defined generalized Hankel operators as follows: Given two contractions ${T}_{1}\in \mathcal{B}\left({\mathscr{H}}_{1}\right)$ and ${T}_{2}\in \mathcal{B}\left({\mathscr{H}}_{2}\right)$, an operator $X\phantom{\rule{0.222222em}{0ex}}{\mathscr{H}}_{1}\to {\mathscr{H}}_{2}$ is said to be a generalized Hankel operator if ${T}_{2}X=X{T}_{1}^{*}$ and $X$ satisfies a boundedness condition that depends on the unitary parts of the minimal isometric dilations of ${T}_{1}$ and ${T}_{2}$. This approach, call it (P), contrasts with a previous one developed by Pták and Vrbová in 1988, call it (PV), based on the existence of a previously defined generalized Toeplitz operator. There seemed to be a strong...

David M. Boyd (1975)

Colloquium Mathematicae

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I. Glicksberg (1980)

Mathematica Scandinavica

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