On the spectrum of special classes of doubly commuting n-tuples of operators

Abstract EN

In this paper we study a spectral characterization of the Taylor-Browder spectrum for a double commuting n−tuple of totally θ−operators, and study relation between the Taylor-Weyl spectrum, Taylar-Browder spectrum, joint-Weyl spectrum, and joint-Browder spectrum for commuting n− tuple of totally θ−operators.

Also we study a spectral characterization of the Taylor-Browder spectrum for a doubly commuting n−tuple of posinormal operators.