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Examples of Quadratically Hyponormal Weighted Shifts

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Abstract

In this paper, we have a further discussion about quadratically hyponormal weighted shifts with weight sequence : a:1;1;pa;.pb;pc;pd.^ 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.

참고문헌 (5)

  1. "Quadratically hyponormal weighted sequence", 13, pp.49~66 (1990)
  2. "A bridge between hyponormality and subnormality", joint hypo(rmality), pp.69~91 (1990)
  3. "Recursively generated weighted shifts and the subnormal completion problem", 17, pp.202~246 (1993)
  4. "Hyponormal polynomial of monotone shifts", 6, pp.681~686 (1975)
  5. "Quadratically hyponormal weighted shifts with two equal weights", 37, pp.208~231 (2000)

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