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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm227-1-3, author = {Young Joo Lee}, title = {Zero sums of products of Toeplitz and Hankel operators on the Hardy space}, journal = {Studia Mathematica}, volume = {231}, year = {2015}, pages = {41-53}, zbl = {06446126}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm227-1-3} }
Young Joo Lee. Zero sums of products of Toeplitz and Hankel operators on the Hardy space. Studia Mathematica, Tome 231 (2015) pp. 41-53. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm227-1-3/