On Norms of Derivations Implemented by Self-Adjoint Operators

Shagwila, Victor; Okelo, N. B.; Obogi, Robert; Cyprian, O. S.

dc.contributor.author	Shagwila, Victor
dc.contributor.author	Okelo, N. B.
dc.contributor.author	Obogi, Robert
dc.contributor.author	Cyprian, O. S.
dc.date.accessioned	2020-03-11T07:23:48Z
dc.date.available	2020-03-11T07:23:48Z
dc.date.issued	2019-05
dc.identifier.citation	International journal of multidisciplinary sciences and engineering, vol. 10, no. 3, May 2019	en_US
dc.identifier.issn	2045-7057
dc.identifier.uri	http://www.ijmse.org/Volume10/Issue3/paper2.pdf
dc.identifier.uri	http://repository.seku.ac.ke/handle/123456789/6014
dc.description.abstract	In the present paper, we introduce and study the concept of norms of derivations, in particular norm estimates of derivations implemented by self-adjoint operators. We show that kδC k = kCX −XCk ≤ 2kCk, for inner derivation while for generalized derivation we establish that kδC,Dk = kCk+kDk, for all C, D, X ∈ B(H). We also estimate that kCk ≤ kCX−XCk ≤ 2kCk and kδC k ≥ 2(kCk 2 + β 2 ) 1 2	en_US
dc.language.iso	en	en_US
dc.subject	Norms of Derivations	en_US
dc.subject	Self-adjoint Operators	en_US
dc.subject	Generalized Derivation	en_US
dc.title	On Norms of Derivations Implemented by Self-Adjoint Operators	en_US
dc.type	Article	en_US