Browder’s Theorem For Totally Posinormal Operators
| dc.contributor.author | Beth Kiratu | |
| dc.contributor.author | Bernard Nzimbi | |
| dc.contributor.author | Stephen Luketero | |
| dc.date.accessioned | 2024-11-19T07:23:58Z | |
| dc.date.available | 2024-11-19T07:23:58Z | |
| dc.date.issued | 2024-04-08 | |
| dc.description.abstract | In our study we consider a higher class of Hilbert space operators, Posinormal operators introduced by C.Rhaly(1992).The purpose of this paper is to prove that if A is a Totally Posinormal operator such that σ(A − λI)|M = 0 ⟹ (A − λI) |M = 0 for every M ∈ Lat(A) and satisfies property(ab),then A satisfies Browder's theorem and generalized Browder’s theorem. We shall also prove that, if N is a nilpotent operator such that AN = NA,then Browder’s theorem holds for A + N. | |
| dc.identifier.uri | https://erepository.ouk.ac.ke/handle/123456789/1496 | |
| dc.publisher | Researchjournali’s | |
| dc.title | Browder’s Theorem For Totally Posinormal Operators |
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