Products of Toeplitz operators and Hankel operators
Volume 220 / 2014
Studia Mathematica 220 (2014), 277-292
MSC: Primary 47B35; Secondary 47B38.
DOI: 10.4064/sm220-3-5
Abstract
We first determine when the sum of products of Hankel and Toeplitz operators is equal to zero; then we characterize when the product of a Toeplitz operator and a Hankel operator is a compact perturbation of a Hankel operator or a Toeplitz operator and when it is a finite rank perturbation of a Toeplitz operator.
