On totally *-paranormal operators |
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Authors: | Eungil Ko Hae-Won Nam Youngoh Yang |
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Affiliation: | (1) Department of mathematics, Ewha Women’s University, Seoul, 120-750, Korea;(2) Department of mathematics, Cheju National University, Cheju, 690-750, Korea |
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Abstract: | 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 W 2(D, H) and some of totally *-paranormal operators have scalar extensions. |
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Keywords: | hyponormal totally *-paranormal hypercyclic operators |
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