Embeddings of non-commutative Lp-spaces into non-commutative L1-spaces, 1 < p < 2

被引：12
|
作者：
Junge, M
机构：
[1] Univ Kiel, Math Seminar, D-24098 Kiel, Germany
[2] Dept Math Urbana Champaign, Urbana, IL 61801 USA
来源：
GEOMETRIC AND FUNCTIONAL ANALYSIS | 2000年 / 10卷 / 02期
关键词：
D O I：
10.1007/s000390050012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It will be shown that for 1 < p < 2 the Schatten p-class is isometrically isomorphic to a subspace of the predual of a von Neumann algebra. Similar results hold for non-commutative L-p(N, tau)-spaces defined by a finite trace on a finite von Neumann algebra. The embeddings rely on a suitable notion of p-stable processes in the non-commutative setting.
引用
收藏
页码：389 / 406
页数：18
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