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Spectral continuity of essentially $p$--hyponormal operators

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Abstract

In this paper it is shown that the spectrum is con-tinuous at every p-hyponormal operator when restricted to the setof essentially p-hyponormal operators and moreover is contin-uous when restricted to the set of compact perturbations ofp-hyponormal operators whose spectral pictures have no holes as-sociated with the index zero.

참고문헌 (10)

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  2. "\ref\key 2 \by M. Cho and T. Huruya \paper $p$--hyponormaloperators for $0<p<\frac"
  3. "Weyl's theorem holds for $p$--hyponormal operators", 39(2), pp.217~220 (1997)
  4. "Operators that are points of spectral continuity \jour Integral Equations Operator Theory", pp.174~
  5. "Hyponormality and spectra of Toeplitz operators", 348(10), pp.4153~4174 (1996)
  6. "\ref\key 6 \by J.~K. Finch \paper The single valuedextension property on a Banach space \jour Pacific J. Math.\vol 58 \yr 1975 \pages no. 1", pp.61~
  7. "\ref\key 8 \by R.~E. Harte \book Invertibility andSingularity for Bounded Linear Operators \publ MarcelDekker", Inc. \publaddr New York \yr 1988\endref
  8. "On the continuity of spectra of Toeplitz operators", 70(1), pp.66~73
  9. "The spectrum is continuous on the set of $p$-hyponormal operators", 235(1), pp.151~157 (2000)
  10. "Operators with finite ascent", pp.323~

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