Kyungpook Mathematical Journal

  • 제49권4호
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  • Pages.647-650
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  • 2009
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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On the Iterated Duggal Transforms

  • Cho, Muneo (Department of Mathematics, Kanagawa University) ;
  • Jung, Il-Bong (Department of Mathematics, Kyungpook National University) ;
  • Lee, Woo-Young (Department of Mathematics, Seoul National University)
  • 투고 : 2009.07.10
  • 심사 : 2009.08.21
  • 발행 : 2009.12.31
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초록

For a bounded operator T = $U{\mid}T{\mid}$ (polar decomposition), we consider a transform b $\widehat{T}$ = ${\mid}T{\mid}U$ and discuss the convergence of iterated transform of $\widehat{T}$ under the strong operator topology. We prove that such iteration of quasiaffine hyponormal operator converges to a normal operator under the strong operator topology.

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참고문헌

  1. A. Aluthge, On p-hyponormal operators for 0 < p < 1, Integral Equations Operator Theory, 13(1990), 307-315. https://doi.org/10.1007/BF01199886
  2. T. Ando and T. Yamazaki, The iterated Aluthge transforms of a 2-by-2 matrix converge, Linear Algebra Appl., 375(2003), 299-309. https://doi.org/10.1016/j.laa.2003.06.002
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  5. C. Foias, I. Jung, E. Ko, and C. Pearcy, Complete contractivity of maps associated with the Aluthge and Duggal transforms, Pacific J. Math., 209(2003), 249-359. https://doi.org/10.2140/pjm.2003.209.249
  6. P. R. Halmos, A Hilbert space problem book, 2nd ed., New York, 1982.
  7. I. S. Hwang and W. Y. Lee, The spectrum is continuous on the set of p-hyponormal operators, Math. Z., 235(2000), 151-157. https://doi.org/10.1007/s002090000128
  8. I. Jung, E. Ko, and C. Pearcy, Aluthge transforms of operators, Integral Equations Operator Theory, 37(2000), 437-448. https://doi.org/10.1007/BF01192831
  9. I. Jung, E. Ko, and C. Pearcy, The iterated Aluthge transform of an operator, Integral Equations Operator Theory, 45(2003), 375-387. https://doi.org/10.1007/s000200300012

피인용 문헌

  1. Subscalarity of operator transforms vol.288, pp.17-18, 2015, https://doi.org/10.1002/mana.201500037