On The Norm of Elementary Operator of Length Two in Tensor Product of C*-Algebras

Abstract

Considerable research has been done on Norm property of different examples of Elementary operators with significant findings. From available literature not much have been done in determining the norm of elementary operator in tensor product of C*-algebras. The norms of Basic elementary operator, Jordan elementary operator and finite length elementary operator in tensor product of C*-algebras have been determined and results obtained. The main focus of this work is to investigate the norm of the elementary operator of length two in the tensor product of C*-algebras and to expand on our previous discussion on the elementary operator in tensor product of C*-algebras. To reach the goals, methods such as finite rank operator, tensor products of C*-algebras, and other well-known results were applied.