Totaly *-paranormal and the Operators Equations SRS= S2 and RSR= R2

Journal: International Journal of Science and Research (IJSR) (Vol.6, No. 8)

Publication Date: 2017-08-05

Authors : Buthainah A.A. Ahmed; Hassan N. Almrayatee;

Page : 1217-1221

Keywords : Paranormal operator; generalized Weyls theorem; single valued extension property;

Source : Download Find it from : Google Scholar

Abstract

In this paper we study the property of the operator equations SRS = S2 and RSR = R2 where S is a *-paranormal operator we show that if S or S is a polynomial root of *-paranormal operator then f (A) 2 gW for all f 2 H ((A)), where A 2 fAB, BA, Bg and we show that For the operator equation SRS = S2 and RSR = R2 we have (S) = (SR) = (RS) = (R)

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Totaly *-paranormal and the Operators Equations SRS= S2 and RSR= R2

Abstract

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