Hyperinvariant subspace for weighted composition operator on $L^p([0,1]^d)$

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dc.creatorAndroulakis, George
dc.creatorFlattot, Antoine
dc.date2008-09-25
dc.date.accessioned2026-07-07T10:05:19Z
dc.date.available2026-07-07T10:05:19Z
dc.descriptionThe main result of this paper is the existence of a hyperinvariant subspace of weighted composition operator $Tf=vf\circτ$ on $L^p([0,1]^d)$, ($1 \leq p \leq \infty$) when the weight $v$ is in the class of ``generalized polynomials'' and the composition map is a bijective ergodic transform satisfying a given discrepancy. The work is based on the construction of a functional calculus initiated by Wermer and generalized by Davie.
dc.identifierhttps://arxiv.org/abs/0809.4429
dc.identifierhttp://arxiv.org/abs/0809.4429
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169975
dc.subjectFunctional Analysis
dc.subject47A15, 47A10, 47A60
dc.titleHyperinvariant subspace for weighted composition operator on $L^p([0,1]^d)$
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