Sums and intersections of symmetric operator spaces

被引：8

作者：

Semenov, E. M. ^{[1
]}

Sukochev, F. A. ^{[2
]}

机构：

[1] Voronezh State Univ, Dept Math, Voronezh 394693, Russia

[2] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 414卷 / 02期

关键词：

Symmetric operator spaces; Symmetrically normed ideals; Symmetric function spaces;

D O I：

10.1016/j.jmaa.2013.12.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let L(H) be the algebra of all bounded operators on a separable Hilbert space H. We completely describe symmetric operator ideals epsilon in L(H), which can be represented as a sum (or, an intersection) of two other (distinct from epsilon) symmetric operator ideals in L(H). We also present a version of our results for symmetric operator spaces affiliated with a semifinite atomless von Neumann algebra M. (c) 2013 Published by Elsevier Inc.

引用

页码：742 / 755

页数：14

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