충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제23권1호
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  • Pages.163-168
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  • 2010
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

OPERATORS WITH RANK ONE SELFCOMMUTATORS

  • Lee, Jun Ik (Department of Mathematics Education Sangmyung University)
  • 투고 : 2010.01.16
  • 심사 : 2010.02.22
  • 발행 : 2010.03.30
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⟨ 이전 논문 다음 논문 ⟩

초록

In this paper it is shown that if [$T^*$,T] is of rank one and ker [$T^*$,T] is invariant for T, then T is quasinormal. Thus, we can know that the hyponormal condition is superfluous in the Morrel's theorem.

키워드

참고문헌

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