AN ORDER PRESERVING INEQUALITY FOR THREE
OPERATORS VIA FURUTA INEQUALITY
Yang Changsen
【期刊名称】《数学物理学报（英文版）》 【年(卷),期】2008(028)004
【摘要】Furuta showed that if A ≥ B ≥ 0, then for each r≥ 0, f(p) = (Ar/2 BPAr/2)(t+r/p+r) is decreasing for p ≥ t ≥ 0. Using this result, the following lnequahty (Cr/2 (AB2A)δCr/2)(p-1+r/4δ+r) ≤Cp-1+r is obtained for 0 ＜ p ≤1, r ≥1, 1/4 ≤ δ ≤ 1 and three positive operators A, B, C satisfy (A1/2BA1/2)p/2 ≤AP, (B1/2 AB1/2)p/2 ≥ BP, (C1/2AC1/2)p/2 ≤ CP, (A1/2CA1/2)p/2 ≥ AP. 【总页数】5页(998-1002)
【关键词】Positive operator;Furuta inequality;operator inequality 【作者】Yang Changsen
【作者单位】College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China 【正文语种】中文 【中图分类】O4 【相关文献】
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AN ORDER PRESERVING INEQUALITY FOR THREE OPERATORS VIA FURUTA INEQUALITY
