Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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INHERITED PROPERTIES THROUGH THE HELTON CLASS OF AN OPERATOR

  • Kim, In-Sook (DEPARTMENT OF MATHEMATICS EWHA WOMEN'S UNIVERSITY) ;
  • Kim, Yoen-Ha (DEPARTMENT OF MATHEMATICS EWHA WOMEN'S UNIVERSITY) ;
  • Ko, Eung-Il (DEPARTMENT OF MATHEMATICS EWHA WOMEN'S UNIVERSITY) ;
  • Lee, Ji-Eun (INSTITUTE OF MATHEMATICAL SCIENCES EWHA WOMEN'S UNIVERSITY)
  • Received : 2009.06.17
  • Published : 2011.01.31
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Abstract

In this paper we show that Helton class preserves the nilpotent and finite ascent properties. Also, we show some relations on non-transitivity and decomposability between operators and their Helton classes. Finally, we give some applications in the Helton class of weighted shifts.

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References

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