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Harmonic Analysis of Operators on Hilbert Space
Contractions and Their Dilations.- Geometrical and Spectral Properties of Dilations.- Functional Calculus.- Extended Functional Calculus.- Operator-Valued Analytic Functions.- Functional Models.-Expand
Isometric asymptotes of power bounded operators
On considere des isometries pour etudier des operateurs de puissance bornes. Ces isometries sont attachees aux operateurs d'une facon asymptotique et ne degenerent pas si les puissances deExpand
Shift-type invariant subspaces of contractions
Abstract Using the Sz.-Nagy–Foias functional model it was shown in [L. Kerchy, Injection of unilateral shifts into contractions with non-vanishing unitary asymptotes, Acta Sci. Math. (Szeged) 61Expand
On a Conjecture of Teodorescu and Vasyunin
Let T be a contraction acting on the separable Hilbert space H. Let us assume that T is of class C10, which means that for every non-zero vector h e H we have \(\mathop{{\lim }}\limits_{n} \parallelExpand
Hyperinvariant subspaces of operators with non-vanishing orbits
It is shown that if the Banach space operator T has regular normsequence, its vector orbits are asymptotically non-vanishing and there exists a complete vector orbit satisfying the growth conditionExpand
Representations with regular norm-behaviour of locally compact abelian semigroups
We prove that some regularity conditions on unbounded representations of topological abelian semigroups with countable spectral conditions induce a certain stability result extending the well-knownExpand
ON INVARIANT SUBSPACES FOR POWER-BOUNDED OPERATORS OF CLASS C1· László Kérchy and Vu
We prove that if T is a power-bounded operator of class C∗· on a Hilbert space which commutes with a nonzero quasinilpotent operator, then T has a nontrivial invariant subspace. Connections with theExpand
Isometries with Isomorphic Invariant Subspace Lattices
J. B. Conway and T. A. Gillespie (J. Funct. Anal.64 (1985), 178–189) characterized those reductive normal operators which have isomorphic invariant subspace lattices. In a subsequent paper (J.Expand
The Structure of C 1 .-Contractions
We systematically exploit the operators intertwining a given contraction with an isometry or unitary operator. Given operators T on \(\mathfrak{N}\) and T on \(\mathfrak{N^\prime}\), we denoteExpand
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