Geodesic
On totally $\ast$-paranormal operators
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1265-1280.

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In this paper we study some properties of a totally $\ast $-paranormal operator (defined below) on Hilbert space. In particular, we characterize a totally $\ast $-paranormal operator. Also we show that Weyl’s theorem and the spectral mapping theorem hold for totally $\ast $-paranormal operators through the local spectral theory. Finally, we show that every totally $\ast $-paranormal operator satisfies an analogue of the single valued extension property for $W^{2}(D,H)$ and some of totally $\ast $-paranormal operators have scalar extensions.
Classification : 47A10, 47A11, 47B20, 47B37, 47B38, 47B40
Keywords: hyponormal; totally $\ast $-paranormal; hypercyclic; operators 
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     title = {On totally $\ast$-paranormal operators},
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Ko, Eungil; Nam, Hae-Won; Yang, Youngoh. On totally $\ast$-paranormal operators. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1265-1280. http://geodesic.mathdoc.fr/item/CMJ_2006__56_4_a13/