An application of Kadets renorming theorem to vector-valued Riemann integrability

被引：0

作者：

Rosario Ruiz de Cenzano

机构：

[1] Universidad Politécnica de Valencia,

来源：

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas | 2014年 / 108卷

关键词：

Vector-valued Riemann integrability; Vector-valued Darboux integrability; Kadets’ property; Local uniform rotundity; Banach space; Function of bounded variation; Primary 46G10; Secondary 46B03;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We use Kadets renorming theorem in separable Banach spaces to characterize Darboux integrable vector valued functions in terms of Riemann integrable functions.

引用

页码：861 / 865

页数：4

共 7 条

[1] Davis WJ(1973)Renorming of nonreflexive Banach spaces Proc. Am. Math. Soc. 37 486-488
[2] Johnson WB(1991)Riemann integration in Banach spaces Rocky Mt. J. Math. 21 923-949
[3] Gordon R(2007)Asymptotic structure of Banach spaces and Riemann integration Real Anal. Exch. 33 111-124
[4] Naralenkov K.M.(1972)On the conditions for Riemann integrability of functions with values in a Banach space Moscow Univ Math Bull 27 62-65
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