Complemented copies of c0 in the vector-valued bounded function space

被引：1

作者：

Ferrando, JC ^{[1
]}

机构：

[1] Univ Miguel Hernandez, Dept Estadist & Matemat Aplicada, E-03202 Elche, Alicante, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 239卷 / 02期

关键词：

Banach space; (complemented) copy of c(0); copy of l(infinity);

D O I：

10.1006/jmaa.1999.6577

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Assuming that Omega is a nonempty set and X is a Banach space, we study the presence of a copy of c(0) in X in relation to the existence of a complemented copy of c(0) in certain closed subspaces of the Banach space l(infinity)(Omega, X) of all bounded X-valued functions defined on Omega, equipped with the supremum norm. As an application we get a result of Diaz concerning complemented copies of c(0) in L-infinity(mu,X). A criterion for certain Banach spaces X to contain a complemented copy of c(0) whenever X contains a copy of c(0) is also included. (C) 1999 Academic Press.

引用

页码：419 / 426

页数：8

共 23 条

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A. Pérez
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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017, 111 (1): : 205 - 211
[22] The Bishop–Phelps–Bollobás Property on the Space of c0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c_0$$\end{document}-Sum
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Mediterranean Journal of Mathematics, 2022, 19 (2)
[23] On copies of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ c_0 $$\end{document} in some function spacesSobre copias de \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ c_0 $$\end{document} en algunos espacios de funciones
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