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Research Paper | Mathematics | Iraq | Volume 6 Issue 8, August 2017 | Popularity: 6.1 / 10
Totaly *-paranormal and the Operators Equations SRS= S2 and RSR= R2
Buthainah A.A. Ahmed, 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
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Buthainah A.A. Ahmed, Hassan N. Almrayatee, "Totaly *-paranormal and the Operators Equations SRS= S2 and RSR= R2", International Journal of Science and Research (IJSR), Volume 6 Issue 8, August 2017, pp. 1217-1221, https://www.ijsr.net/getabstract.php?paperid=ART20175711, DOI: https://www.doi.org/10.21275/ART20175711