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 |