Invariant Subspaces and Spectral Conditions on Operator Semigroups
Heydar Radjavi (1997)
Banach Center Publications
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Heydar Radjavi (1997)
Banach Center Publications
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J. Janas (1976)
Studia Mathematica
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Lavon Page (1982)
Banach Center Publications
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Andrzej Krupa, Bogdan Zawisza (1987)
Studia Mathematica
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Bernard Morrel, Paul Muhly (1974)
Studia Mathematica
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Michał Jasiczak (2006)
Studia Mathematica
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The aim of this paper is to answer some questions concerning weak resolvents. Firstly, we investigate the domain of extension of weak resolvents Ω and find a formula linking Ω with the Taylor spectrum. We also show that equality of weak resolvents of operator tuples A and B results in isomorphism of the algebras generated by these operators. Although this isomorphism need not be of the form (1) X ↦ U*XU, where U is an isometry, for normal operators it...
(1997)
Banach Center Publications
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Putnam, C.R. (1981)
International Journal of Mathematics and Mathematical Sciences
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Vũ Phóng (1997)
Banach Center Publications
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This paper is chiefly a survey of results obtained in recent years on the asymptotic behaviour of semigroups of bounded linear operators on a Banach space. From our general point of view, discrete families of operators on a Banach space X (discrete one-parameter semigroups), one-parameter -semigroups on X (strongly continuous one-parameter semigroups), are particular cases of representations of topological abelian semigroups. Namely, given a topological abelian semigroup S, a family...
Marek Słociński (1976)
Studia Mathematica
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Albrecht Böttcher, Hartmut Wolf (1997)
Banach Center Publications
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Let A stand for a Toeplitz operator with a continuous symbol on the Bergman space of the polydisk or on the Segal-Bargmann space over . Even in the case N = 1, the spectrum Λ(A) of A is available only in a few very special situations. One approach to gaining information about this spectrum is based on replacing A by a large “finite section”, that is, by the compression of A to the linear span of the monomials . Unfortunately, in general the spectrum of does not mimic the spectrum...