Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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COMPLEX MOMENT MATRICES VIA HALMOS-BRAM AND EMBRY CONDITIONS

  • Li, Chunji (INSTITUTE OF SYSTEM SCIENCE COLLEGE OF SCIENCES NORTHEASTERN UNIVERSITY) ;
  • Jung, Il-Bong (DEPARTMENT OF MATHEMATICS COLLEGE OF NATURAL SCIENCES KYUNGPOOK NATIONAL UNIVERSITY) ;
  • Park, Sang-Soo (INSTITUTE OF MATHEMATICAL SCIENCE EWHA WOMANS UNIVERSITY)
  • Published : 2007.07.30
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Abstract

By considering a bridge between Bram-Halmos and Embry characterizations for the subnormality of cyclic operators, we extend the Curto-Fialkow and Embry truncated complex moment problem, and solve the problem finding the finitely atomic representing measure ${\mu}$ such that ${\gamma}_{ij}={\int}\bar{z}^iz^jd{\mu},\;(0{\le}i+j{\le}2n,\;|i-j|{\le}n+s,\;0{\le}s{\le}n);$ the cases of s = n and s = 0 are induced by Bram-Halmos and Embry characterizations, respectively. The former is the Curto-Fialkow truncated complex moment problem and the latter is the Embry truncated complex moment problem.

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References

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Cited by

  1. A Cyclic Subnormal Completion of Complex Data vol.54, pp.2, 2014, https://doi.org/10.5666/KMJ.2014.54.2.157
  2. ESTIMATING THE DOMAIN OF ATTRACTION VIA MOMENT MATRICES vol.46, pp.6, 2009, https://doi.org/10.4134/BKMS.2009.46.6.1237