ON THE SPECTRUM OF SPECIAL CLASSES OF DOUBLY COMMUTING n −TUPLES OF OPERATORS

Abstract

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.