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Abstract
Many researchers in operator theory have attempted to determine the relationship between the norm of an elementary operator of length two 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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References
Daniel, B., Musundi, S., & Ndungu, K. (2022). An Application of Maximal Numerical Range on Norm of Basic Elementary Operator in Tensor Product. Journal of Progressive Research in Mathematics, 19(1), 73-81.
Kawira, E., King’ang’i, D., & Musundi, S. W. (2018). On the Norm of an Elementary Operator of Finite Length in a C* Algebra”.
King’ang’i, D. N. (2018). On norm of elementary operator: an application of stampfli’s maximal numerical range. Pure Appl Math J, 7(1), 6-10.
King’ang’i, D., Agure, J., and Nyamwala, F. (2014). On the norm of elementary operator. Advance in Pure Mathematics,4.
King’ang’i, D.N (2017). On Norm of Elementary Operator of Length Two, Int. Journal ‘of Science and Innovative Math. Research, Vol 5,34-39.
Mathieu, M. (2001). Elementary operators on Calkin algebras. Irish Math.Soc. Bull,14311451.
Muiruri, P. G., King’ang’i, D., & Musundi, S. W. (2019). On the Norm of Basic Elementary Operator in a Tensor Product.
Nyamwala, F., and Agure, J. (2008). Norm of elementary operator in Banach Algebras. Int.Journal of Math. Analysis, vol2(9),411-425.
Stampfli, J. (1970). The norm of a derivation. Pacific journal of mathematics, 33(3), 737-747.
Timoney, R. M. (2007). Some formulae for norms of elementary operators. Journal of Operator Theory, 121-145.