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On weighted Weyl spectrum, II
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Abstract
In this paper, we show that ifT is a hyponormal opera-tor on a non-separable Hilbert spaceH, then Re!0(T) !0(ReT),where !0(T) is the weighted Weyl spectrum of weight with @0 h := dim H. We also give some conditions under which theproduct of two-Weyl operators is-Weyl and its converse implica-tion holds, too. Finally, we show that the weighted Weyl spectrumof a hyponormal operator satises the spectral mapping theoremfor analytic functions under certain conditions.
참고문헌 (4)
- S. K. Berberian, "Conditions on an operator implying Re ¾", pp.272~ (1971)
- W. E. Pfa？？enberger, "Calkin Algebras and Algebrasof Operators on Banach Spaces" (1974)
- W. Y. Lee, "A spectral mapping theorem for the Weyl spectrum", 38(1), pp.61~64 (1996)
- J. D. Newburgh, "The variation of spectra", 18, pp.165~176 (1951)
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