Bernard Nzimbi
Senior Lecturer, University Of Nairobi, P.o Box 30197-00100 Nairobi
Browder’s Theorem For Totally Posinormal Operators
In our study we consider a higher class of Hilbert space operators,Posinormal operators introduced by C. Rhaly (1992).We show that if T is a totally Posinormal operator such that T possesses property(ab), then Browder's theorem and generalized Browder’s theorem holds for T and for T+N where N is a nilpotent operator that commutes with T.

Bernard Nzimbi
Senior Lecturer, University Of Nairobi, P.o Box 30197-00100 Nairobi
A-browder’s Theorem For Conditionally Totally Posinormal Operators
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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