A constructive proof of the composition rule for Taylor's functional calculus
We give a new constructive proof of the composition rule for Taylor's functional calculus for commuting operators on a Banach space.
The essential spectrum of holomorphic Toeplitz operators on spaces
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.
Privilege on strictly convex domains
We adapt the privilege theorem of Douady and Pourcin from polydomains to strictly convex domains in the complex space.
Page 1