AN EXTENSION OF KY FAN'S DOMINANCE THEOREM

被引：3
|
作者：
Alizadeh, Rahim [3 ]
Asadi, Mohammad B. [1 ,2 ]
机构：
[1] Univ Tehran, Coll Sci, Sch Math Stat & Comp Sci, Tehran, Iran
[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
[3] Shahed Univ, Dept Math, Tehran, Iran
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2012年 / 6卷 / 01期
关键词：
s-numbers; unitarily invariant norm; Ky Fan norm; INVARIANT NORMS;
D O I：
10.15352/bjma/1337014672
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for a separable Hilbert space H with an orthonormal basis {e(i)}(i=1)(infinity), the equality parallel to.parallel to = parallel to Sigma(infinity)(i=1) s(i) (.)e(i) circle times e(i) parallel to holds for all unitarily invariant norms on B(H) and Ky Fan's dominance theorem remains valid on B(H).
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页码：139 / 146
页数：8
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