Zero sums of products of Toeplitz and Hankel operators on the Hardy space
Studia Mathematica, Tome 227 (2015) no. 1, pp. 41-53
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
hardy space unit disk consider operators which finite sums products toeplitz operator hankel operator characterizations operators zero results extend several known results using completely different arguments
Affiliations des auteurs :
Young Joo Lee  1
Young Joo Lee. Zero sums of products of Toeplitz and Hankel operators on the Hardy space. Studia Mathematica, Tome 227 (2015) no. 1, pp. 41-53. doi: 10.4064/sm227-1-3
@article{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},
pages = {41--53},
year = {2015},
volume = {227},
number = {1},
doi = {10.4064/sm227-1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm227-1-3/}
}
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