Kyungpook Mathematical Journal

  • 제45권3호
  • /
  • Pages.413-421
  • /
  • 2005
  • /
  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지

Examples of Quadratically Hyponormal Weighted Shifts

  • He, Wei (Department of Mathematics, Fudan University) ;
  • Li, Chunji (Institute of System Science, College of Sciences, Northeastern University)
  • 투고 : 2004.03.31
  • 발행 : 2005.09.23
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초록

In this paper, we have a further discussion about quadratically hyponormal weighted shifts with weight sequence ${\alpha}:1,1,{\sqrt{a}},\left({\sqrt{b}},{\sqrt{c}},{\sqrt{d}}\right)^{\wedge}$ on the basis of sufficient conditions for positively quadratically hyponormal weighted shifts. We set examples of quadratically hyponormal weighted shifts with weight sequence of the above form, and also establish a general method for setting examples.

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참고문헌

  1. Integral Equations and Operator Theory v.13 Quadratically hyponormal weighted sequence Curto, R.
  2. Proc. Symposia Pure Math v.51 Joint hyponormality: A bridge between hyponormality and subnormality Curto, R.
  3. Integral Equations and Operator Theory v.17 Recursively generated weighted shifts and the subnormal completion problem Curto, R.;Fialkow, L.
  4. Integral Equations and Operator Theory v.18 Recursively generated weighted shifts and the subnormal completion problem, II Curto, R.;Fialkow, L.
  5. Indian J. Pure Appl. Math. v.6 Hyponormal polynomial of monotone shifts Joshi, A.
  6. Integral Equations and Operator Theory v.37 Quadratically hyponormal weighted shifts with two equal weights Curto, R.;Jung, I.