Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON HOLDER-MCCARTHY-TYPE INEQUALITIES WITH POWERS

  • Lin, Chia-Shiang (Department of Mathematics Bishop′s University) ;
  • Cho, Yeol-Je (Department of Mathematics Gyeongsang National University)
  • Published : 2002.05.01
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Abstract

We extend the Holder-McCarthy inequality for a positive and an arbitrary operator, respectively. The powers of each inequality are given and the improved Reid's inequality by Halmos is generalized. We also give the bound of the Holder-McCarthy inequality by recursion.

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References

  1. Math. Japan v.46 Operator inequalities and covariance in noncommutative probability M. Fujii;T. Furuta;R. Nakamoto;S. E. Takahasi
  2. Hilbert Space Problem Book P. R. Halmos
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  4. Acta Math. Sinica On varoance and dovariance for bounded linear operators
  5. J. Inequal. Appl. Polar decomposition approach to Reid's inequality
  6. High-order and high-power Cauchy-Schwarz inequalities
  7. Israel J. Math. v.5 C. A. McCarthy https://doi.org/10.1007/BF02771613
  8. Duke Math. J. v.18 Symmetrizable completely continuous linear transformations in Hilbert spaces W. T. Reid https://doi.org/10.1215/S0012-7094-51-01805-4

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