Geodesic
On totally ∗-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 ∗-paranormal operator (defined below) on Hilbert space. In particular, we characterize a totally ∗-paranormal operator. Also we show that Weyl’s theorem and the spectral mapping theorem hold for totally ∗-paranormal operators through the local spectral theory. Finally, we show that every totally ∗-paranormal operator satisfies an analogue of the single valued extension property for W2(D,H) and some of totally ∗-paranormal operators have scalar extensions.
Classification : 47A10, 47A11, 47B20, 47B37, 47B38, 47B40
Mots-clés : hyponormal; totally ∗-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. https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_4_a13/