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INVARIANT SUBSPACES IN THE BIDISC AND WANDERING SUBSPACES

Part of: General theory of linear operators Commutative Banach algebras and commutative topological algebras

Published online by Cambridge University Press:  01 June 2008

TAKAHIKO NAKAZI
TAKAHIKO NAKAZI*
Affiliation:
Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060-0810, Japan (email: nakazi@math.sci.hokudai.ac.jp)
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Abstract

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Let M be a forward-shift-invariant subspace and N a backward-shift-invariant subspace in the Hardy space H2 on the bidisc. We assume that . Using the wandering subspace of M and N, we study the relations between M and N. Moreover we study M and N using several natural operators defined by shift operators on H2.

Keywords

invariant subspacetwo variable Hardy spacewandering subspace

MSC classification

Secondary: 47A15: Invariant subspaces 46J15: Banach algebras of differentiable or analytic functions, $H^p$-spaces
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 84 , Issue 3 , June 2008 , pp. 367 - 374
Copyright
Copyright © 2008 Australian Mathematical Society

References

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