Products of Block Toeplitz operators

1996/05/22 by Caixing Gu, Dechao Zheng, Gu, Caixing +1 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.math/9605225

openalex publication_date 1996/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Compactness of products of block Hankel and Toeplitz operators

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