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Further Extension of the Relations between Two Operator Inequalities

Further Extension of the Relations between Two Operator Inequalities
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摘要 In this paper,we give out a further extension of the relations between two famous inequalities(B r 2 A p B r 2) r p+r≥B r and Ap≥(A p 2 B r A p 2) p p+r,which can yield the result of Yamazaki and Yanagida's. In this paper,we give out a further extension of the relations between two famous inequalities(B r 2 A p B r 2) r p+r≥B r and Ap≥(A p 2 B r A p 2) p p+r,which can yield the result of Yamazaki and Yanagida’s.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第3期462-465,共4页 数学季刊(英文版)
基金 Supported by the Natural Science Foundation of the Department of Education of Henan Province(2011A110009)
关键词 positive operators positive invertible operators polar decomposition positive operators positive invertible operators polar decomposition
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参考文献4

  • 1FUJII M, FURUTA T, KAMEI E. Furuta's inequality and its application to Ando's theorem[J]. Linear Algebra Appl, 1993, 179: 161-169.
  • 2FURUTA T. Applications of order preserving operator inequalities[J]. Operator Theory Adv Appl, 1992, 59: 180-190.
  • 3ITO M, YAMAZAKI T. Relations between two inequalities (B r/2 AP B r/2 ) r/p+r Br and AP ≥ (A p/r Br A p/r ) and their applications[J]. Integr Equat Oper Th, 2000, 44: 442-450.
  • 4YAMAZAKI T, YANAGIDA M. Relations between two operator inequalities and their applications to paranormal operators[J]. Acta Sci Math(Szeged), 2003, 69: 377-389.

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