We compute the essential Taylor spectrum of a tuple of analytic Toeplitz operators on , where D is a strictly pseudoconvex domain. We also provide specific formulas for the index of provided that is a compact subset of D.
@article{bwmeta1.element.bwnjournal-article-doi-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},
volume = {157},
year = {2003},
pages = {223-231},
zbl = {1029.47013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-3-3}
}
Mats Andersson; Sebastian Sandberg. The essential spectrum of holomorphic Toeplitz operators on $H^{p}$ spaces. Studia Mathematica, Tome 157 (2003) pp. 223-231. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-3-3/