Volume 7, Issue 1, February 2018, Page: 6-10
On Norm of Elementary Operator: An Application of Stampfli’s Maximal Numerical Range
Denis Njue Kingangi, Department of Mathematics & Computer Science, University of Eldoret, Eldoret, Kenya
Received: Feb. 4, 2018;       Accepted: Mar. 8, 2018;       Published: Mar. 27, 2018
DOI: 10.11648/j.pamj.20180701.12      View  1300      Downloads  71
Abstract
Many researchers in operator theory have attempted to determine the relationship between the norm of an elementary operator of finite length 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.
Keywords
Elementary Operator, Maximal Numerical Range, Rank-One Operator
To cite this article
Denis Njue Kingangi, On Norm of Elementary Operator: An Application of Stampfli’s Maximal Numerical Range, Pure and Applied Mathematics Journal. Vol. 7, No. 1, 2018, pp. 6-10. doi: 10.11648/j.pamj.20180701.12
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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