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

Buthainah Ahmed; Hiba Al-Janaby

doi:10.24996/

Authors

Buthainah Ahmed Department of Mathematics, College of Science, University of Baghdad. Bahgdad-Iraq
Hiba Al-Janaby Department of Mathematics, College of Science, University of Baghdad. Bahgdad-Iraq

DOI:

https://doi.org/10.24996/

Keywords:

SPECTRUM, CLASSES

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.