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Weakly Hyponormal Composition Operators and Embry Condition

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We investigate the gaps among classes of weakly hyponormal composition operators induced by Embry characterization for the subnormality. The relationship between subnormality and weak hyponormality will be discussed in a version of composition operator induced by a non-singular measurable transformation.

Abstract

We investigate the gaps among classes of weakly hyponormal composition operators induced by Embry characterization for the subnormality. The relationship between subnormality and weak hyponormality will be discussed in a version of composition operator induced by a non-singular measurable transformation.

참고문헌 (11)

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  3. C. Burnap, "Separating partial normality classes with composition operators", J. Operator Theory, 53, pp.381~397 (2005)
  4. J. Conway, "Subnormal Operators" (1981), Pitman Advanced Publishing Program
  5. R. E. Curto, "Recursively generated weighted shifts and the subnor- mal completion problem", Integral Equation and Operator Theory, 17, pp.202~246 (1993)
  6. M. Embry, "A generalization of the Halmos-Bram condition for subnormality", Acta. Sci. Math.(Szeged), 35, pp.61~64 (1973)
  7. I. Jung, "Separating classes of composition operators via subnormal condition", Proc. Amer. Math. Soc, 135, pp.3955~3965 (2007)
  8. Jung Woi Park, "On k-hyponormal weighted translation Semigroups", 대한수학회보, 39(4), pp.527~534 (2002), 대한수학회
  9. S. McCullough, "A note on joint hyponormality", Proc. Amer. Math. Soc, 107, pp.187~195 (1989)
  10. S. McCullough, "k-hyponormality of weighted shifts", Proc. Amer. Math. Soc, 116, pp.165~169 (1992)
  11. Wolfram Research, Inc, "Mathematica, Version 3.0" (1996), Cham-paign

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