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On the spectral continuity

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In this paper we show that the spectrum is continuous on the class of $\star$-paranormal operators but the approximate point spectrum generally is not continuous at $\star$-paranormal operators.

Abstract

In this paper we show that the spectrum is continuous on the class of $\star$-paranormal operators but the approximate point spectrum generally is not continuous at $\star$-paranormal operators.

참고문헌 (17)

  1. P. Aiena, "Operators which have a closed quasi-nilpotent part", Proc. Amer. Math. soc, 130, pp.2701~2710 (2002)
  2. C. Apostol, "Some results on non-quasitriangular operators. IV", Rev. Roum. Math. Pures Appl, 18, pp.487~514 (1973)
  3. S. K. Berberian, "Approximate proper vectors", Proc. Amer. Math. Soc, 13, pp.111~114 (1962)
  4. J. B. Conway, "Operators that are points of spectral continuity", Integral equations and operator theory, 2, pp.174~198 (1979)
  5. J. B. Conway, "Operators that are points of spectral continuity II", Integral equations and operator theory, 4, pp.459~503 (1981)
  6. N. Dunford, "Spectral operators", Paciic J. Math, 4, pp.321~354 (1954)
  7. S. V. Djordjeviic, "Weyl's theorem and continuity of spectra in the class of p-hyponormal operators", Studia Math, 143, pp.23~32 (2000)
  8. S. V.Djordjeviic, "Continuity of the essential spectrum in the class of quasihy-ponormal operators", Vesnik Math, 50, pp.71~74 (1998)
  9. B. P. Duggal, "Continuity of the spectrum on a class of upper triangular operator matrices", Jour. Math. Anal. Appl, 370, pp.584~587 (2010)
  10. B. P. Duggal, "On *-paranormal contractions and properties for *-class A operators", Linear Algebra Appl, 436, pp.954~962 (2012)
  11. P. B. Halmos, "A Hilbert Space Problem Book" (1967), Van Nostrand
  12. I. S. Hwang, "The spectrum is continuous on the set of p-hyponormal operators", Math. Z, 235, pp.151~157 (2000)
  13. T. Kato, "Perturbation theory for nullity, de ciency and other quantities of linear operators", J. Anal. Math, 6, pp.261~322 (1958)
  14. 이재원, "Continuity of the spectrum on (classA)", 한국수학논문집, 21(1), pp.35~39 (2013), 강원경기수학회[DOI]
  15. M. Mbekhta, "Gienieralisation de la diecomposition de Kato aux opierateurs para-normaux et spectraux", Glasgow Math. J, 29, pp.159~175 (1987)
  16. J. D. Newburgh, "The variation of spectra", Duke Math. J, 18, pp.165~176 (1951)
  17. M. Oudghiri, "Weyl's and Browder's theorem for operators satisfying the SVEP", Studia Math, 163, pp.85~101 (2004)

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