The Kadec-Pelczynski-Rosenthal subsequence splitting lemma for JBW*-triple preduals

被引：4

作者：

Peralta, Antonio M. ^{[1
]}

Pfitzner, Hermann ^{[2
]}

机构：

[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain

[2] Univ Orleans, F-45067 Orleans 2, France

来源：

STUDIA MATHEMATICA | 2015年 / 227卷 / 01期

关键词：

Kadec-Pelczynski-Rosenthal subsequence splitting lemma; JBW*-triples; weak compactness; uniform integrability; L-embedded Banach spaces; C-STAR-ALGEBRAS; INNER IDEALS; BANACH; THEOREM; DERIVATIONS; PROJECTIONS; SUBSPACES; SPACES;

D O I：

10.4064/sm227-1-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Any bounded sequence in an L-1-space admits a subsequence which can be written as the sum of a sequence of pairwise disjoint elements and a sequence which forms a uniformly integrable or equiintegrable (equivalently, a relatively weakly compact) set. This is known as the Kadec-Pelczynski-Rosenthal subsequence splitting lemma and has been generalized to preduals of von Neuman algebras and of JBW*-algebras. In this note we generalize it to JBW*-triple preduals.

引用

页码：77 / 95

页数：19