Journal Articles

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Browder’s Theorem For Conditionally Totally Posinormal Operators
(Researchjournali’s, 2024-01-13) Beth Kiratu; Bernard Nzimbi; Stephen Luketero
In this paper we present results on Browder's theorem for conditionally totally posinormal operators using established results on kato type operators and polaroid operators.
Browder’s Theorem For Totally Posinormal Operators
(Researchjournali’s, 2024-04-08) Beth Kiratu; Bernard Nzimbi; Stephen Luketero
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.