The essential spectrum of holomorphic
Toeplitz operators on $H^p$ spaces
Studia Mathematica, Tome 154 (2003) no. 3, pp. 223-231
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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 $D$.
Keywords:
compute essential taylor spectrum tuple analytic toeplitz operators where strictly pseudoconvex domain provide specific formulas index provided compact subset
Affiliations des auteurs :
Mats Andersson 1 ; Sebastian Sandberg 1
@article{10_4064_sm154_3_3,
author = {Mats Andersson and Sebastian Sandberg},
title = {The essential spectrum of holomorphic
{Toeplitz} operators on $H^p$ spaces},
journal = {Studia Mathematica},
pages = {223--231},
publisher = {mathdoc},
volume = {154},
number = {3},
year = {2003},
doi = {10.4064/sm154-3-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm154-3-3/}
}
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 SP - 223 EP - 231 VL - 154 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm154-3-3/ DO - 10.4064/sm154-3-3 LA - en ID - 10_4064_sm154_3_3 ER -
%0 Journal Article %A Mats Andersson %A Sebastian Sandberg %T The essential spectrum of holomorphic Toeplitz operators on $H^p$ spaces %J Studia Mathematica %D 2003 %P 223-231 %V 154 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm154-3-3/ %R 10.4064/sm154-3-3 %G en %F 10_4064_sm154_3_3
Mats Andersson; Sebastian Sandberg. The essential spectrum of holomorphic Toeplitz operators on $H^p$ spaces. Studia Mathematica, Tome 154 (2003) no. 3, pp. 223-231. doi: 10.4064/sm154-3-3
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