Backward shift invariant subspaces in the bidisc II


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83737

Title:	Backward shift invariant subspaces in the bidisc II
Authors:	Izuchi, K. Browse this author
	Nakazi, T. Browse this author
	Seto, M. Browse this author
Keywords:	Backward shift invariant subspaces
Keywords:	the Hardy space in the bidisc
Issue Date:	May-2003
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	592
Start Page:	1
End Page:	17
Abstract:	For every invariant subspace NI in the Hardy spaces H2 (f2 ), let Vz and Vw be mulitplication operators on AL Then it is known that the condition Vz V; v;vz on NI holds if and only if J;I is a Demling type invariant subspace. For a backward shift invariant subspace N in H2(f2), two operators Sz and Sw on N are defined by Sz = PN LzPN and Sw = PN Lw PN, where PN is the orthogonal projection from L2(f2) onto N. It is given a characterization of N satisfying szs1:J = s1:JsZ on N.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69341
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

OAI-PMH ( junii2 , jpcoar_1.0 )

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