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/