Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (4): 710-718.

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On Reverse Young and Heinz Inequalities for τ-Measurable Operators

Shao Jingjing, Han Yazhou   

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046
  • Received:2013-08-21 Revised:2015-01-26 Online:2015-08-25 Published:2015-08-25

Abstract:

Besides the singular value inequalities for the arithmetic, geometric and Heinz means of τ-measurable operators, we mainly establish reverse Young and Heinz inequalities for τ-measurable operators and for the norm ||·||2.

Key words: Von Neumann algebras, Reverse Young inequality, Reverse Heinz inequality

CLC Number: 

  • O123.4
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