Counterexamples to the discrete and continuous weighted Weiss conjectures

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dc.creatorWynn, Andrew
dc.date2009-04-24
dc.date.accessioned2026-07-07T13:08:27Z
dc.date.available2026-07-07T13:08:27Z
dc.descriptionCounterexamples are presented to weighted forms of the Weiss conjecture in discrete and continuous time. In particular, for certain ranges of $α$, operators are constructed that satisfy a given resolvent estimate, but fail to be $α$-admissible. For $α\in (-1,0)$ the operators constructed are normal, while for $α\in (0,1)$ the operator is the unilateral shift on the Hardy space $H^2(\mathbb{D})$.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0904.3831
dc.identifierhttp://arxiv.org/abs/0904.3831
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228421
dc.subjectFunctional Analysis
dc.subject30C85, 30D50, 30H05, 47D06
dc.titleCounterexamples to the discrete and continuous weighted Weiss conjectures
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