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DOI Prefix 10.20431 |
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On the Norm of Basic Elementary Operator in a Tensor Product
Peter G. Muiruri1, Denis N. King'ang'i2, Sammy W. Musundi3
2.Department of Mathematics and Computer Science, University of Eldoret, Eldoret, Kenya.
3.Department of Physical Sciences, Chuka University, Chuka, Kenya.
Citation : Peter G. Muiruri, Denis N. King'ang'i, Sammy W. Musundi, On the Norm of Basic Elementary Operator in a Tensor Product International Journal of Scientific and Innovative Mathematical Research 2018 , 6(6) : 15-22
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 B(H*K) is expressible in terms of the norms of basic elementary operators on B(H) and B(K).