Dept. Math, Hokkaido Univ. EPrints Server

Backward shift invariant subspaces in the bidisc III

Preprint Series # 650
Izuchi, Keiji and Nakazi, Takahiko and Seto, Michio Backward shift invariant subspaces in the bidisc III. (2004);

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Abstract

In the previous paper, we give a characterization of backward shift invariant subspaces of the Hardy space in the bidisc which satisfy the doubly commuting condition S_z S_w^* = S_w^* S_z for the compression operators S_z and S_w. In this paper, we give a characterization of backward shift invariant subspaces satisfying S_z^2 S_w^* = S_w^* S_z^2.

Item Type:Preprint
Subjects:00-xx GENERAL
ID Code:199