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A note on cubically hyponormal weighted shifts

이미령|Chunji Li|Muneo Cho
대한수학회 (The Korean Mathematical Society)|2014.08|대한수학회보 (Bulletin of the KMS)|제51권 제4호|pp. 1031-1040

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참고문헌

키워드

flatnessweighted shiftcubically hyponormal operator
주제분류수학

초록

In this paper, we show that any cubically hyponormal weight- ed shift with first two equal weights is flat. And we give an example of a weighted shift which is not cubically hyponormal but almost-cubically hyponormal.

Abstract

In this paper, we show that any cubically hyponormal weight- ed shift with first two equal weights is flat. And we give an example of a weighted shift which is not cubically hyponormal but almost-cubically hyponormal.

참고문헌 (10)

  1. Y. Choi, "A propagation of quadratically hyponormal weighted shifts", Bull. Korean Math. Soc, 37(2), pp.347~352 (2000)
  2. R. Curto, "Quadratically hyponormal weighted shifts", Integ. Equ. Oper. Theory, 13(1), pp.49~66 (1990)
  3. R. Curto, "Recursively generated weighted shifts and the subnormal com-pletion problem", Integ. Equ. Oper. Theory, 17(2), pp.202~246 (1993)
  4. R. Curto, "Recursively generated weighted shifts and the subnormal completion problem. II", Integ. Equ. Oper. Theory, 18(4), pp.369~426 (1994)
  5. R. Curto, "Quadratically hyponormal weighted shifts with two equal weights", Integ. Equ. Oper. Theory, 37(2), pp.208~231 (2000)
  6. R. Curto, "Nearly subnormal operators and moment problems", J. Funct. Anal, 115(2), pp.480~497 (1993)
  7. Y. Do, "On semi-weakly n-hyponormal weighted shifts", Integ. Equ. Oper. Theory, 73(1), pp.93~106 (2012)
  8. I. Jung, "Cubically hyponormal weighted shifts and their examples", J. Math. Anal. Appl, 247(2), pp.557~569 (2000)
  9. J. Stampfli, "Which weighted shifts are subnormal", Pacific J. Math, 17, pp.367~379 (1966)
  10. Wolfram Research, Inc, "Mathematica, Version 8.0", Wolfram Research, ~ (2010)

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