Zero sums of products of Toeplitz and Hankel operators on the Hardy space

Young Joo Lee

Studia Mathematica (2015)

  • Volume: 227, Issue: 1, page 41-53
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Young Joo Lee. "Zero sums of products of Toeplitz and Hankel operators on the Hardy space." Studia Mathematica 227.1 (2015): 41-53. <http://eudml.org/doc/285420>.

@article{YoungJooLee2015,
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.},
author = {Young Joo Lee},
journal = {Studia Mathematica},
keywords = {Hardy space; Toeplitz operator; Hankel operator},
language = {eng},
number = {1},
pages = {41-53},
title = {Zero sums of products of Toeplitz and Hankel operators on the Hardy space},
url = {http://eudml.org/doc/285420},
volume = {227},
year = {2015},
}

TY - JOUR
AU - Young Joo Lee
TI - Zero sums of products of Toeplitz and Hankel operators on the Hardy space
JO - Studia Mathematica
PY - 2015
VL - 227
IS - 1
SP - 41
EP - 53
AB - 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.
LA - eng
KW - Hardy space; Toeplitz operator; Hankel operator
UR - http://eudml.org/doc/285420
ER -

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