Korean Journal of Mathematics

  • 제20권4호
  • /
  • Pages.485-491
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  • 2012
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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ON THE NORM ATTAINING OPERATORS

  • Lee, Jun Ik (Department of Mathematics Education Sangmyung University)
  • 투고 : 2012.11.05
  • 심사 : 2012.12.15
  • 발행 : 2012.12.30
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초록

In this paper, we show the norm attaining paranormal operators have a nontrivial invariant subspace. Also, we show the norm attaining quadratically hyponormal weighted shift is subnormal.

키워드

과제정보

연구 과제 주관 기관 : Sangmyung University

참고문헌

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  11. P.R. Halmos, A Hilbert space problem book, Springer, New York, 1982.
  12. A. Iwanik, Norm attaining operators on Lebesgue spaces, Pacific J. Math. 83 (1979), 381-386. https://doi.org/10.2140/pjm.1979.83.381
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  16. J. Stampfli, Which weighted shifts are subnormal?, Pacific J. Math. 17 (1966), 367-379. https://doi.org/10.2140/pjm.1966.17.367

피인용 문헌

  1. Absolutely norm attaining paranormal operators vol.465, pp.1, 2012, https://doi.org/10.1016/j.jmaa.2018.05.024
  2. A NOTE ON POSITIVE OPERATORS vol.100, pp.1, 2012, https://doi.org/10.1017/s0004972718001296