English

Products of Block Toeplitz operators

Functional Analysis 2009-09-25 v1

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.

Keywords

Cite

@article{arxiv.math/9605225,
  title  = {Products of Block Toeplitz operators},
  author = {Caixing Gu and Dechao Zheng},
  journal= {arXiv preprint arXiv:math/9605225},
  year   = {2009}
}