Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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SPECTRAL CONTINUITY OF ESSENTIALLY p-HYPONORMAL OPERATORS

  • Kim, An-Hyun (DEPARTMENT OF MATHEMATICS, CHANGWON NATIONAL UNIVERSITY) ;
  • Kwon, Eun-Young (DEPARTMENT OF MATHEMATICS, CHANGWON NATIONAL UNIVERSITY)
  • Published : 2006.05.01
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Abstract

In this paper it is shown that the spectrum ${\sigma}$ is continuous at every p-hyponormal operator when restricted to the set of essentially p-hyponormal operators and moreover ${\sigma}$ is continuous when restricted to the set of compact perturbations of p-hyponormal operators whose spectral pictures have no holes associated with the index zero.

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References

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Cited by

  1. THE SPECTRAL CONTINUITY OF ESSENTIALLY HYPONORMAL OPERATORS vol.29, pp.3, 2014, https://doi.org/10.4134/CKMS.2014.29.3.401