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Continuity of the spectrum on (classA)
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Let (classA)* denotes the class of operators satisfying |T2| ≥ |T*|2. In this paper, we show that the spectrum is continuouson (classA)*.
Abstract
Let (classA)* denotes the class of operators satisfying |T2| ≥ |T*|2. In this paper, we show that the spectrum is continuouson (classA)*.
참고문헌 (10)
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- S. V. Djordjevic, "Browder's theorem and spectral continuity", Glasg. Math. J, 42, pp.479~486 (2000)
- S. V. Djordjevic, "Continuity of the essential spectrum in the class of quasihy- ponormal operators", Math. Vesnik, 50, pp.71~74 (1998)
- B. P. Duggal, "Continuity of the spectrum on a class of upper triangular operator matrices", J. Math. Anal. Appl, 370, pp.584~587 (2010)
- B. P. Duggal, "On *-paranormal contractions and properties for *-class A operators", Linear Algebra Appl, 436, pp.954~962 (2012)
- P. B. Halmos, "A Hilbert Space Problem Book" (1967), Van Nostrand
- I. S. Hwang, "The spectrum is continuous on the set of p- hyponormal operators", Math. Z, 235, pp.151~157 (2000)
- J. D. Newburgh, "The variation of spectra", Duke Math. J, 18, pp.165~176 (1951)
관련 논문AI추천
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