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Harmonic Analysis of Operators on Hilbert Space

- B. Szőkefalvi-Nagy, C. Foias, H. Bercovici, L. Kérchy
- Mathematics
- 1970

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

- L. Kérchy
- Mathematics
- 1989

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 de… Expand

Shift-type invariant subspaces of contractions

- L. Kérchy
- Mathematics
- 15 May 2007

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) 61… Expand

On a Conjecture of Teodorescu and Vasyunin

- L. Kérchy
- Physics
- 1988

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} \parallel… Expand

Hyperinvariant subspaces of operators with non-vanishing orbits

- L. Kérchy
- Mathematics
- 28 January 1999

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 condition… Expand

Representations with regular norm-behaviour of locally compact abelian semigroups

- L. Kérchy, Zoltán Léka
- Mathematics
- 2007

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-known… Expand

ON INVARIANT SUBSPACES FOR POWER-BOUNDED OPERATORS OF CLASS C1· László Kérchy and Vu

- L. Kérchy
- 2003

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 the… Expand

Isometries with Isomorphic Invariant Subspace Lattices

- L. Kérchy
- Mathematics
- 1 February 2000

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

- B. Nagy, H. Bercovici, C. Foias, L. Kérchy
- Physics
- 2010

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 denote… Expand

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