dc.contributor.author | Okelo, Bernad N. | |
dc.contributor.author | Okelo, B.O | |
dc.contributor.author | Ongati, Naftali O. | |
dc.date.accessioned | 2018-02-06T07:31:44Z | |
dc.date.available | 2018-02-06T07:31:44Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | ISSN: 2456-0235 | |
dc.identifier.uri | http://www.ijmst.co/ | |
dc.identifier.uri | http://62.24.102.115:8080/xmlui/handle/123456789/1221 | |
dc.description.abstract | Studies on the norms of the elementary operators on JB* -algebras Prime C * -algebras, Calkin algebras and standard operator algebras has been considered. In this paper, we characterize norm inequalities for Jordan elementary operators on C * -algebras. The results show that if H is an infinite dimensional complex Hilbert space and B(H) the C*-algebra of all bounded linear operators on H, then for a Jordan elementary operator U : B(H) → B(H) defined by: U(T) = PTQ + QTP for all T ϵ B(H) and Pi;Qi fixed in B(H), ║U(T)║ ≤ 2║P║║Q║. Moreover, if Pi and Qi are diagonal operators induced by { ni} and {βni}respectively and H an infinite dimensional complex Hilbert space then U is bounded and║U║ = (Σn{Σ l i=1| ni | 2 | βni | 2 }) 1/2 . | en_US |
dc.language.iso | en | en_US |
dc.publisher | International Journal of Modern Science and Technology | en_US |
dc.relation.ispartofseries | Vol. 2, No. 3, 2017. Page 81-84.; | |
dc.subject | Norm | en_US |
dc.subject | C* -algebra | en_US |
dc.subject | Elementary operator | en_US |
dc.subject | Hilbert space. | en_US |
dc.title | Characterization of norm inequalities for elementary operators | en_US |
dc.type | Article | en_US |