The essential spectrum of holomorphic Toeplitz operators on H p spaces

Mats Andersson; Sebastian Sandberg

Studia Mathematica (2003)

  • Volume: 154, Issue: 3, page 223-231
  • ISSN: 0039-3223

Abstract

top
We compute the essential Taylor spectrum of a tuple of analytic Toeplitz operators T g on H p ( D ) , where D is a strictly pseudoconvex domain. We also provide specific formulas for the index of T g provided that g - 1 ( 0 ) is a compact subset of D.

How to cite

top

Mats Andersson, and Sebastian Sandberg. "The essential spectrum of holomorphic Toeplitz operators on $H^{p}$ spaces." Studia Mathematica 154.3 (2003): 223-231. <http://eudml.org/doc/284593>.

@article{MatsAndersson2003,
abstract = {We compute the essential Taylor spectrum of a tuple of analytic Toeplitz operators $T_\{g\}$ on $H^\{p\}(D)$, where D is a strictly pseudoconvex domain. We also provide specific formulas for the index of $T_\{g\}$ provided that $g^\{-1\}(0)$ is a compact subset of D.},
author = {Mats Andersson, Sebastian Sandberg},
journal = {Studia Mathematica},
keywords = {essential spectrum; Toeplitz operators; Taylor spectrum; strictly pseudoconvex domain; index},
language = {eng},
number = {3},
pages = {223-231},
title = {The essential spectrum of holomorphic Toeplitz operators on $H^\{p\}$ spaces},
url = {http://eudml.org/doc/284593},
volume = {154},
year = {2003},
}

TY - JOUR
AU - Mats Andersson
AU - Sebastian Sandberg
TI - The essential spectrum of holomorphic Toeplitz operators on $H^{p}$ spaces
JO - Studia Mathematica
PY - 2003
VL - 154
IS - 3
SP - 223
EP - 231
AB - We compute the essential Taylor spectrum of a tuple of analytic Toeplitz operators $T_{g}$ on $H^{p}(D)$, where D is a strictly pseudoconvex domain. We also provide specific formulas for the index of $T_{g}$ provided that $g^{-1}(0)$ is a compact subset of D.
LA - eng
KW - essential spectrum; Toeplitz operators; Taylor spectrum; strictly pseudoconvex domain; index
UR - http://eudml.org/doc/284593
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.