Young's Inequality for Positive Operators
Received:April 24, 2010  Revised:October 11, 2010
Key Words: Young's inequality   positive operator.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.10871224;11026134) and the Special Research Project of Educational Department of Shaanxi Province (Grant No.09JK741).
Author NameAffiliation
Li FANG Department of Mathematics, Northwest University, Shaanxi 710127, P. R. China 
Hong Ke DU College of Mathematics and Information Science, Shaanxi Normal University, Shaanxi 710062, P. R. China 
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Abstract:
      The classical Young's inequality and its refinements are applied to positive operators on a Hilbert space at first. Based on the classical Poisson integral formula of relevant operators, some new inequalities on unitarily invariant norm of $A^\frac1pXB^\frac1q-A^\frac1qYB^\frac1p$ are obtained with effective calculation, where $A$, $B$, $X$, $Y\in{\cal B}({\cal H})$ with $A$, $B\geqslant 0$ and $1
Citation:
DOI:10.3770/j.issn:1000-341X.2011.05.018
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