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Ko, Eungil; Nam, Hae-Won; Yang, Youngoh

On totally \(\ast \)-paranormal operators. (English) Zbl 1164.47319

Czech. Math. J. 56, No. 4, 1265-1280 (2006).
Summary: In this paper, we study some properties of a totally \(\ast \)-paranormal operator (as defined below) on a 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 that some totally \(\ast \)-paranormal operators have scalar extensions.

Cited in 1 Document

MSC:

47B20 Subnormal operators, hyponormal operators, etc.
47B38 Linear operators on function spaces (general)

Keywords:

hyponormal; totally \(\ast \)-paranormal; hypercyclic operators
PDFBibTeX XMLCite
\textit{E. Ko} et al., Czech. Math. J. 56, No. 4, 1265--1280 (2006; Zbl 1164.47319)
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References:

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