Category theorems for stable operators on Hilbert spaces

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dc.creatorEisner, Tanja
dc.creatorSereny, Andras
dc.date2008-05-07
dc.date.accessioned2026-07-07T09:51:32Z
dc.date.available2026-07-07T09:51:32Z
dc.descriptionWe discuss the two closely related, but different concepts of weak and almost weak stability for the powers of a contraction on a separable Hilbert space. Extending Halmos' and Rohlin's theorems in ergodic theory as a model, we show that the set of all weakly stable contractions is of first category while the set of all almost weakly stable contractions is of second category and is residual. Analogous statements for unitary and isometric operators are also proved.
dc.description9 pages. To appear in Acta Scientiarum Mathematicarum (Szeged)
dc.identifierhttps://arxiv.org/abs/0805.1016
dc.identifierhttp://arxiv.org/abs/0805.1016
dc.identifierActa Sci. Math. (Szeged) 74 (2008), 259-270.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165279
dc.subjectFunctional Analysis
dc.subjectDynamical Systems
dc.subject47A35; 37A25
dc.titleCategory theorems for stable operators on Hilbert spaces
dc.typetext

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