Zero sums of products of Toeplitz and Hankel operators on the Hardy space
Volume 227 / 2015
Studia Mathematica 227 (2015), 41-53
MSC: Primary 47B35; Secondary 32A36.
DOI: 10.4064/sm227-1-3
Abstract
On the Hardy space of the unit disk, we consider operators which are finite sums of products of a Toeplitz operator and a Hankel operator. We then give characterizations for such operators to be zero. Our results extend several known results using completely different arguments.