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Invariant subspaces in the bidisc and commutators
Published online by Cambridge University Press: 09 April 2009
Abstract
Let M be an invariant subspace of L2 (T2) on the bidisc. V1 and V2 denote the multiplication operators on M by coordinate functions z and ω, respectively. In this paper we study the relation between M and the commutator of V1 and , For example, M is studied when the commutator is self-adjoint or of finite rank.
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- Copyright © Australian Mathematical Society 1994
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