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Research Paper | Mathematics | Iraq | Volume 6 Issue 8, August 2017

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

Buthainah A.A. Ahmed ^[4] | Hassan N. Almrayatee

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)

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

Edition: Volume 6 Issue 8, August 2017,

Pages: 1217 - 1221