Korean Journal of Mathematics

  • 제21권1호
  • /
  • Pages.35-39
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  • 2013
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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CONTINUITY OF THE SPECTRUM ON (classA)*

  • Lee, Jae Won (Department of Applied Mathematics Kumoh National Institute of Technology) ;
  • Jeon, In Ho (Department of Mathematics Education Seoul National University of Education)
  • 투고 : 2012.12.20
  • 심사 : 2013.01.25
  • 발행 : 2013.03.30
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초록

Let $(class{\mathcal{A}})^*$ denotes the class of operators satisfying ${\mid}T^2{\mid}{\geq}{\mid}T^*{\mid}^2$. In this paper, we show that the spectrum is continuous on $(class{\mathcal{A}})^*$.

키워드

참고문헌

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  7. B. P. Duggal, I. H. Jeon, and I. H. Kim, On *-paranormal contractions and properties for *-class A operators, Linear Algebra Appl. 436(2012), 954-962. https://doi.org/10.1016/j.laa.2011.06.002
  8. P. B. Halmos, A Hilbert Space Problem Book, Van Nostrand, Princeton 1967.
  9. I. S. Hwang and W. Y. Lee, The spectrum is continuous on the set of p-hyponormal operators, Math. Z. 235(2000), 151-157. https://doi.org/10.1007/s002090000128
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피인용 문헌

  1. ON THE SPECTRAL CONTINUITY vol.23, pp.1, 2013, https://doi.org/10.11568/kjm.2015.23.1.65