A zk-invariant subspace without the wandering property

Seco Forsnacke, Daniel

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A zk-invariant subspace without the wandering property

Author(s): Seco Forsnacke, Daniel

Publisher: Elsevier

Issued date: 2019-04-15

Citation: Seco, D. (2019). A z-invariant subspace without the wandering property. Journal of Mathematical Analysis and Applications, 472(2), pp. 1377–1400.

ISSN: 0022-247X

DOI: https://doi.org/10.1016/j.jmaa.2018.11.081

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Economía y Competitividad (España)

Project: Gobierno de España. MTM2016-77710-P
Gobierno de España. SEV-2015-0554

Keywords: Dirichlet spaces , Wandering property , Invariant subspaces , Multiplication operators , Shift operator , Bergman spaces

URI: http://hdl.handle.net/10016/32629

Rights: © 2018 Elsevier Inc.
Atribución-NoComercial-SinDerivadas 3.0 España

Abstract:

We study operators of multiplication by zk in Dirichlet-type spaces Dα. We establish the existence of k and α for which some zk-invariant subspaces of Dα do not satisfy the wandering property. As a consequence of the proof, any Dirichlet-type space accepts an [+]

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