An Application Of Maximal Numerical Range On Norm Of Basic Elementary Operator In Tensor Product

Benjamin Kimeu Daniel; Sammy Wabomba Musundi; Kinyanjui Jeremiah Ndungu

Benjamin Kimeu Daniel Department of Physical Sciences, Chuka University, P.O. Box 109-60400, Chuka, Kenya
Sammy Wabomba Musundi Department of Physical Sciences, Chuka University, P.O. Box 109-60400, Chuka, Kenya.
Kinyanjui Jeremiah Ndungu Department of Pure & Applied Sciences, Kirinyaga University, P. O BOX 143-10300 Kerugoya, Kenya

Keywords: Basic Elementary Operator, Maximal Numerical Range, and Tensor Product.

Abstract

Many researchers in operator theory have attempted to determine the relationship between the norm of basic elementary operator and the norms of its coefficient operators. Various results have been obtained using varied approaches. In this paper, we attempt this problem by the use of the Stampfli’s maximal numerical range in a tensor product.

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