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.

引用

页码：157 / 173

页数：17

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