Journal of Operator Theory

Volume 60, Issue 2, Fall 2008 pp. 239-251.

Rank-One Commutators on Invariant Subspaces of the Hardy Space on the Bidisk. II

Authors: Kei Ji Izuchi (1) and Kou Hei Izuchi (2)
Author institution: (1) Department of Mathematics, Niigata University, Niigata, 950-2181, Japan}
(2) Graduate School of Science and Technology, Niigata University, Niigata, 950-2181, Japan

Summary: As a continuation of the previous paper, we still study invariant subspaces of $H^2(\G^2)$ with $\mathrm{rank}\,[R^*_z,R_w]=1$.

Keywords: Invariant subspace, Hardy space, cross commutator, rank-one operator

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