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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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  2. S. K. Berberian, "Approximate proper vectors", Proc. Amer. Math. Soc, 13, pp.111~114 (1962)
  3. S. V. Djordjevic, "Weyl's theorem and continuity of spectra in the class of p-hyponormal operators", Studia Math, 143, pp.23~32 (2000)
  4. S. V. Djordjevic, "Browder's theorem and spectral continuity", Glasg. Math. J, 42, pp.479~486 (2000)
  5. S. V. Djordjevic, "Continuity of the essential spectrum in the class of quasihy- ponormal operators", Math. Vesnik, 50, pp.71~74 (1998)
  6. B. P. Duggal, "Continuity of the spectrum on a class of upper triangular operator matrices", J. Math. Anal. Appl, 370, pp.584~587 (2010)
  7. B. P. Duggal, "On *-paranormal contractions and properties for *-class A operators", Linear Algebra Appl, 436, pp.954~962 (2012)
  8. P. B. Halmos, "A Hilbert Space Problem Book" (1967), Van Nostrand
  9. I. S. Hwang, "The spectrum is continuous on the set of p- hyponormal operators", Math. Z, 235, pp.151~157 (2000)
  10. J. D. Newburgh, "The variation of spectra", Duke Math. J, 18, pp.165~176 (1951)

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