FINITE REPRESENTABILITY OF HOMOGENEOUS HILBERTIAN OPERATOR SPACES IN SPACES WITH FEW COMPLETELY BOUNDED MAPS

被引：0

作者：

Oikhberg, T. ^{[1
]}

机构：

[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

来源：

JOURNAL OF OPERATOR THEORY | 2009年 / 61卷 / 01期

关键词：

Operator spaces; homogeneons Hilbertian spaces; finite representability; Operator Approximation Property;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For every homogeneous Hilbertian operator space H, we construct a Hilbertian operator space X such that every infinite dimensional sub-quotient Y of X is completely indecomposable, and fails the Operator Approximation Property, yet H is completely finitely representable in Y. If H satisfies certain conditions, we also prove that every completely bounded map on such Y is a compact perturbation of a scalar.

引用

页码：3 / 18

页数：16

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