| dc.contributor.author | Odero Adhiambo Beatrice, J. O. Agure,F. O. Nyamwala | |
| dc.date.accessioned | 2022-01-30T09:39:57Z | |
| dc.date.available | 2022-01-30T09:39:57Z | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | Vol. 8, 2019, no. 1, 11 - 16 | |
| dc.identifier.uri | https://repository.maseno.ac.ke/handle/123456789/4776 | |
| dc.description | https://doi.org/10.12988/pms.2019.9810 | en_US |
| dc.description.abstract | Let H be an infinite dimensional complex Hilbert space and B(H)
the algebra of all bounded linear operators on H. For two bounded
operators A, B ∈ B(H), the map δAB : B(H) → B(H) is a generalized
inner derivation operator induced by A and B defined by δAB(X) =
AX − XB (1)
In this paper we show that the norm of a generalized inner derivation
operator is given by k(δAB/B(B(H)))k = kAk+kBk for all A, B ∈ B(H).
Mathematics Subject Classification: Primary 47A30, Secondary 47L25 | en_US |
| dc.publisher | HIKARI Ltd | en_US |
| dc.subject | Generalized derivation, Norm, maximal numerical range and finite rank operators | en_US |
| dc.title | On the Norm of a Generalized Derivation | en_US |
| dc.type | Article | en_US |
