Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON RANK ONE PERTURBATIONS OF THE UNILATERAL SHIFT

  • Ko, Eung-Il (DEPARTMENT OF MATHEMATICS EWHA WOMEN'S UNIVERSITY) ;
  • Lee, Ji-Eun (DEPARTMENT OF MATHEMATICS KYUNG HEE UNIVERSITY, INSTITUTE OF MATHEMATICAL SCIENCES EWHA WOMEN'S UNIVERSITY)
  • Received : 2009.12.19
  • Published : 2011.01.31
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Abstract

In this paper we study some properties of rank one perturbations of the unilateral shift operators $T=S+u{\otimes}{\upsilon}$. In particular, we give some criteria for eigenvalues of T. Also we characterize some conditions for T to be hyponormal.

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References

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