Browsing by Author "Bernard Nzimbi"

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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.
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    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.