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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