ASYMPTOTIC STRUCTURE OF BANACH SPACES AND RIEMANN INTEGRATION

被引：0
|
作者：
Naralenkov, K. M. [1 ]
机构：
[1] Bauman State Tech Univ, Dept Appl Math, Moscow 105005, Russia
来源：
REAL ANALYSIS EXCHANGE | 2007年 / 33卷 / 01期
关键词：
Riemann integral; Lebesgue property; Schur property; spreading model; asymptotic l(1) Banach space;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we focus on the Lebesgue property of Banach spaces. A real Banach space X is said to have the Lebesgue property if any Riemann integrable function from [0, 1] into X is continuous almost everywhere on [0, 1]. We obtain a partial characterization of the Lebesgue property, showing that it has connections with the asymptotic geometry of the space involved.
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页码：111 / 124
页数：14
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