THE CASE OF EQUALITY IN YOUNG'S INEQUALITY FOR THE s-NUMBERS IN SEMI-FINITE VON NEUMANN ALGEBRAS

被引：2
|
作者：
Larotonda, Gabriel [1 ,2 ]
机构：
[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, RA-1428 Buenos Aires, DF, Argentina
[2] Consejo Nacl Invest Cient & Tecn, Inst Argentino Matemat Alberto P Calderon, Buenos Aires, DF, Argentina
来源：
JOURNAL OF OPERATOR THEORY | 2019年 / 81卷 / 01期
关键词：
Measurable operator; tau-compact operator; semi finite von Neumann algebra; Young's inequality; s-number; MAJORIZATION; THEOREM; TRACE;
D O I：
10.7900/jot.2017dec15.2182
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a semi-finite von Neumann algebra A, we study the case of equality in Young's inequality of s-numbers for a pair of tau-measurable operators a, b, and we prove that equality is only possible if vertical bar a vertical bar(p) =vertical bar b vertical bar(q). We also extend the result to unbounded operators affiliated with A, and relate this problem with other symmetric norm Young inequalities.
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页码：157 / 173
页数：17
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