ON THE NORM OF AN ELEMENTARY OPERATOR OF FINITE LENGTH IN A 𝑪�∗ALGEBRA

Abstract

Properties of elementary operators have been studied over the past years especially the norm aspect. Various results have been obtained on elementary operatorsof different lengths using different approaches. In this paper, we determine the norm of anelementary operator of length n in a C*algebra using finite rank operators.We will review known results on Jordan and general elementary operatorswhich are useful in getting our result.