PRODUCTS OF BLOCK TOEPLITZ-OPERATORS

Authors
GU CX ZHENG DC
Citation
Cx. Gu et Dc. Zheng, PRODUCTS OF BLOCK TOEPLITZ-OPERATORS, Pacific journal of mathematics, 185(1), 1998, pp. 115-148
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
Pacific journal of mathematics → ACNP
ISSN journal
00308730
Volume
185
Issue
1
Year of publication
1998
Pages
115 - 148
Database
ISI
SICI code
0030-8730(1998)185:1<115:POBT>2.0.ZU;2-3
Abstract
In this paper we characterize when the product of two block Toeplitz o perators is a compact perturbation of a block Toeplitz operator on the Hardy space of the open unit disk. Necessary and sufficient condition s are given for the commutator of two block Toeplitz operators to be c ompact.