Vol. 185, No. 1, 1998

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Products of block Toeplitz operators

Caixing Gu and Dechao Zheng

Vol. 185 (1998), No. 1, 115–148
Abstract

In this paper we characterize when the product of two block Toeplitz operators is a compact perturbation of a block Toeplitz operator on the Hardy space of the open unit disk. Necessary and sufficient conditions are given for the commutator of two block Toeplitz operators to be compact.

Milestones
Received: 3 January 1997
Published: 1 September 1998
Authors
Caixing Gu
California Polytechnic State University
San Luis Obispo, CA 93407
Dechao Zheng
Vanderbilt University
Nashville, TN 37240