• 제목/요약/키워드: Dunford's boundedness condition (B)

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SOME REMARKS ON THE HELTON CLASS OF AN OPERATOR

  • Kim, In-Sook;Kim, Yoen-Ha;Ko, Eun-Gil;Lee, Ji-Eun
    • 대한수학회보
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    • 제46권3호
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    • pp.535-543
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    • 2009
  • In this paper we study some properties of the Helton class of an operator. In particular, we show that the Helton class preserves the quasinilpotent property and Dunford's boundedness condition (B). As corollaries, we get that the Helton class of some quadratically hyponormal operators or decomposable subnormal operators satisfies Dunford's boundedness condition (B).