On local minimum and orthogonality of normal derivations in Cp-classes
| dc.contributor.author | Owino, B. O. | |
| dc.contributor.author | Okelo, Bernad N. | |
| dc.contributor.author | Ongati, Naftali O. | |
| dc.date.accessioned | 2018-02-27T05:53:46Z | |
| dc.date.available | 2018-02-27T05:53:46Z | |
| dc.date.issued | 2017-02 | |
| dc.identifier.issn | 2456-0235. | |
| dc.identifier.uri | http://www.ijmst.co/ | |
| dc.identifier.uri | http://62.24.102.115:8080/xmlui/handle/123456789/1248 | |
| dc.description.abstract | The present paper gives some results on local minimum and orthogonality of normal derivations in Cp-Classes. We employ some techniques for normal derivations due to Mecheri, Hacene, Bounkhel and Anderson. Let CpCp be normal, then the linear map = attains a local minimum at x Cp if and only if z Cp such that ) Also let Cp, and let have the polar decomposition, then the map attains local minimum on Cp at T if and only if. Regarding orthogonality, let SCp and let N(S) have the polar decomposition N(S)=U|N(S)|, thenfor XCp if . Moreover, the map has a local minimum at x if and only if for y. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | G.I publications | en_US |
| dc.subject | Banach space | en_US |
| dc.subject | Hilbert space | en_US |
| dc.subject | Gateaux derivative | en_US |
| dc.subject | Orthogonality | en_US |
| dc.subject | Schatten-p Class | en_US |
| dc.title | On local minimum and orthogonality of normal derivations in Cp-classes | en_US |
| dc.type | Article | en_US |
