On the Norm of Elementary Operator

Affiliation(s)

Department of Mathematics and Computer Science, University of Eldoret, Eldoret, Kenya.

Department of Pure and Applied Mathematics, Maseno University, Maseno, Kenya.

Department of Physics, Mathematics, Statistics and Computer Science, Moi University, Eldoret, Kenya.

Department of Mathematics and Computer Science, University of Eldoret, Eldoret, Kenya.

Department of Pure and Applied Mathematics, Maseno University, Maseno, Kenya.

Department of Physics, Mathematics, Statistics and Computer Science, Moi University, Eldoret, Kenya.

ABSTRACT

The norm of an elementary operator has been studied by many mathematicians. Varied results have been established especially on the lower bound of this norm. Here, we attempt the same problem for finite dimensional operators.

Cite this paper

Kingangi, D. , Agure, J. and Nyamwala, F. (2014) On the Norm of Elementary Operator.*Advances in Pure Mathematics*, **4**, 309-316. doi: 10.4236/apm.2014.47041.

Kingangi, D. , Agure, J. and Nyamwala, F. (2014) On the Norm of Elementary Operator.

References

[1] Timoney, R.M. (2007) Some Formulae for Norms of Elementary Operators. The Journal of Operator Theory, 57, 121-145.

[2] Nyamwala, F.O. and Agure, J.O. (2008) Norms of Elementary Operators in Banach Algebras. Journal of Mathematical Analysis, 2, 411-424.

[3] Mathew, M. (1990) More Properties of the Product of Two Derivations of a C*-Algebras. Bulletin of the Australian Mathematical Society, 42, 115-120.

http://dx.doi.org/10.1017/S0004972700028203

[4] Cabrera, M. and Rodriguez, A. (1994) Non-Degenerate Ultraprime Jordan-Banach Algebras: A Zelmano-Rian Treatment. Proceedings of the London Mathematical Society, 69, 576-604.

[5] Stacho, L.L. and Zalar, B. (1996) On the Norm of Jordan Elementary Operators in Standard Operator Algebras. Publicationes Mathematicae-Debrecen, 49, 127-134.

[6] Baraa, M. and Boumazgour, M. (2001) A Lower Bound of the Norm of the Operator . Extracta Mathematicae, 16, 223-227.

[7] Okelo, N. and Agure, J.O. (2011) A Two-Sided Multiplication Operator Norm. General Mathematics Notes, 2, 18-23.

[1] Timoney, R.M. (2007) Some Formulae for Norms of Elementary Operators. The Journal of Operator Theory, 57, 121-145.

[2] Nyamwala, F.O. and Agure, J.O. (2008) Norms of Elementary Operators in Banach Algebras. Journal of Mathematical Analysis, 2, 411-424.

[3] Mathew, M. (1990) More Properties of the Product of Two Derivations of a C*-Algebras. Bulletin of the Australian Mathematical Society, 42, 115-120.

http://dx.doi.org/10.1017/S0004972700028203

[4] Cabrera, M. and Rodriguez, A. (1994) Non-Degenerate Ultraprime Jordan-Banach Algebras: A Zelmano-Rian Treatment. Proceedings of the London Mathematical Society, 69, 576-604.

[5] Stacho, L.L. and Zalar, B. (1996) On the Norm of Jordan Elementary Operators in Standard Operator Algebras. Publicationes Mathematicae-Debrecen, 49, 127-134.

[6] Baraa, M. and Boumazgour, M. (2001) A Lower Bound of the Norm of the Operator . Extracta Mathematicae, 16, 223-227.

[7] Okelo, N. and Agure, J.O. (2011) A Two-Sided Multiplication Operator Norm. General Mathematics Notes, 2, 18-23.