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

Sammy W. Musundi; Kawira Esther; Denis N. Kingangi

Sammy W. Musundi Deparment of Physical Science, Chuka University, Kenya
Kawira Esther Deparment of Physical Science, Chuka University, Kenya
Denis N. Kingangi Department of Mathematics and Computer Science, University of Eldoret, Kenya

Keywords: C*algebra, Elementary Operator, Finite rank Operator.

Abstract

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

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