The essential spectrum of holomorphic Toeplitz operators on $H^p$ spaces
Volume 154 / 2003
Studia Mathematica 154 (2003), 223-231
MSC: 32A26, 32A35, 47A10, 47A13.
DOI: 10.4064/sm154-3-3
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 $D$.
