Browsing School of Biological, Physical, Mathematics & Actuarial Sciences by Author "Okelo, Bernad N."
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Certain properties of normaloid operators
Mogotu, P.O.; Kerongo, J.; Obogi, R. K.; Okelo, Bernad N. (JOOUST, 6/24/2015)In this paper we establish new conditions for contractivity of normaloid operators. We employ some results for contractivity due to Furuta, Nakomoto, Arandelovic and Dragomir. A particular generalization is also given. -
Norm estimates for convexoid operators
Onyango, Cecil; Oleche, Paul; Okelo, Bernad N. (JOOUST, 6/24/2015)Hilbert space operators are important in formulation of principles of quantum mechanics and also in other fields of applied sciences. These operators include normal operators, hyponormal operators, normaloid operators, ... -
Norms and numerical radii inequalities for ( , ) - normal transaloid operators
Nyaluke, Wesley K.; Okelo, Bernad N.; Ongati, Naftali O. (JOOUST, 6/24/2015)The studies on Hilbert spaces for the last decade has been of great interest to many mathematicians and researchers, especially on operator inequalities related to operator norms and numerical radii for a family of bounded ... -
Norms of derivation associated with idempotents and unitary operators
Moses, Ouma O.; Ongati, Naftali O.; Okelo, Bernad N. (6/24/2015)The study of operators has continued to attract the attention of many researchers. Of special interest are the calculations of norms of these operators. Johnson Stampfli wrote a paper on the norms of derivation on algebra ... -
On norm preserving conditions for local automorphisms of commutative banach algebras
Kangogo, Willy; Okelo, Bernad N.; Ongati, Naftali O. (JOOUST, 6/24/2015)The history of commutative algebra first appeared in 1890 by David Hilbert which was then followed by Banach spaces in 1924 since localization reduces many problems of geometric special case into commutative algebra problems ... -
On numerical radius attainability for normal self-adjoint operators
Omaoro, Sabasi; Okelo, Bernad N. (JOOUST, 6/24/2015)The numerical range and numerical radius are very useful in studying linear operators acting on Hilbert spaces. The operators include normal, hyponormal, normaloid, transaloid, self-adjoint, subnormal, compact and unitary. ...