The kadec-klee property in symmetric spaces of measurable operators

被引：0
|
作者：
V. I. Chilin
P. G. Dodds
F. A. Sukochev
机构：
[1] Tashkent State University,Department of Mathematics
[2] The Flinders University of South Australia,Department of Mathematics and Statistics
来源：
Israel Journal of Mathematics | 1997年 / 97卷
关键词：
Symmetric Space; Weak Topology; Polar Decomposition; Banach Function Space; Measure Topology;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that ifE is a separable symmetric Banach function space on the positive half-line thenE has the Kadec-Klee property if and only if, for every semifinite von Neumann algebra (M, τ), the associated spaceE(M, τ) ofτ-measurable operators has the Kadec-Klee property.
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页码：203 / 219
页数：16
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