• 제목/요약/키워드: Morrel's theorem

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OPERATORS WITH RANK ONE SELFCOMMUTATORS

  • Lee, Jun Ik
    • 충청수학회지
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    • 제23권1호
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    • pp.163-168
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    • 2010
  • 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.