Browsing by Author "Kingangi, Denis"

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    On The Norm of an Elementary Operator of Finite Length in A C*Algebra”
    (2018-08) Kawira, Esther; Kingangi, Denis; Musundi, Sammy Wabomba
    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. Maths classification: 47C15, 47A30
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    On the Norm of Basic Elementary Operator in a Tensor Product
    (2018-01) Muiruri, Peter G; Kingangi, Denis; Musundi, Sammy Wabomba
    In this paper, we determine the norm of an elementary operator in a tensor product. More precisely, we investigate the bounds of the norm of a basic elementary operator in a tensor product. We employ the techniques of tensor products and finite rank operators to express the norm of an elementary operator in terms of its coefficient operators. We also show that the norm of a basic elementary operator on is expressible in terms of the norms of basic elementary operators on and B(HOK) is expressible in terms of the norms of basic elementary operators on B(H) and B(K) .