Products of Toeplitz operators and Hankel operators

Yufeng Lu; Linghui Kong

Studia Mathematica (2014)

  • Volume: 220, Issue: 3, page 277-292
  • ISSN: 0039-3223

Abstract

top
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.

How to cite

top

Yufeng Lu, and Linghui Kong. "Products of Toeplitz operators and Hankel operators." Studia Mathematica 220.3 (2014): 277-292. <http://eudml.org/doc/285755>.

@article{YufengLu2014,
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.},
author = {Yufeng Lu, Linghui Kong},
journal = {Studia Mathematica},
keywords = {Toeplitz operator; Hankel operator; compact perturbation; finite rank operator},
language = {eng},
number = {3},
pages = {277-292},
title = {Products of Toeplitz operators and Hankel operators},
url = {http://eudml.org/doc/285755},
volume = {220},
year = {2014},
}

TY - JOUR
AU - Yufeng Lu
AU - Linghui Kong
TI - Products of Toeplitz operators and Hankel operators
JO - Studia Mathematica
PY - 2014
VL - 220
IS - 3
SP - 277
EP - 292
AB - 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.
LA - eng
KW - Toeplitz operator; Hankel operator; compact perturbation; finite rank operator
UR - http://eudml.org/doc/285755
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.