Norms of elementary operators.

Abstract

The norm of an elementary operator has been investigated over long period by several mathematician under various special circumstances. Timoney working on algebra of bounded linear operators on Hilbert spaces, established the lower bound of norms of eleementary operators on Calkin algebra. Similary, mathieu studied norm properties of elementary operators on Calkin algebra and established a result whose key basis is the Haagerup tensor norm. We joined results from these eminent mathematicians to establish norms of elementary operators, particularly determine the lower bounds of elementary operators.