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Invariant subspaces in the bidisc and commutators

Invariant subspaces in the bidisc and commutators

Abstract Let M be an invariant subspace of L 2 ( T 2 ) on the bidisc. V 1 and V 2 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 V 1 …