Asymptotically isometric copies of c0 and l1 in Bochner-spaces

被引：2

作者：

Dowling, PN ^{[1
]}

Randrianantoanina, N ^{[1
]}

机构：

[1] Miami Univ, Dept Math & Stat, Oxford, OH 45056 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 262卷 / 01期

基金：

美国国家科学基金会;

关键词：

Bochner-spaces;

D O I：

10.1006/jmaa.2001.7598

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a Banach space and (Omega, Sigma, mu) be a finite measure space. It is shown that if 1 less than or equal to p < infinity (resp. 1 < p < infinity), the Bochner space L-p(mu, X) contains asymptotically isometric copies of c(u) (resp. l(1)) if and only if X does. (C) 2001 Academic Press.

引用

页码：419 / 434

页数：16

共 50 条

[31] Operators on C[0,1] preserving copies of asymptotic l1 spaces
Gasparis, I
MATHEMATISCHE ANNALEN, 2005, 333 (04) : 831 - 858
[32] SOME CHARACTERIZATIONS OF C0 AND L1
RETHERFORD, JR
CANADIAN MATHEMATICAL BULLETIN, 1967, 10 (01): : 39 - +
[33] Existence of solution for system of differential equations in c0 and l1 spaces
Malik, Ishfaq Ahmad
Jalal, Tanweer
AFRIKA MATEMATIKA, 2020, 31 (7-8) : 1129 - 1143
[34] Embeddability of L1(μ) in dual spaces, geometry of cones and a characterization of c0
Polyrakis, IA
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 289 (01) : 126 - 142
[35] ON SOME SUBSPACES OF L1 AND C0
LINDENST.J
BULLETIN OF THE RESEARCH COUNCIL OF ISRAEL, 1961, F 10 (02): : 74 - &
[36] The Banach spaces l∞(c0) and c0(l∞) are not isomorphic
Cembranos, Pilar
Mendoza, Jose
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 367 (02) : 461 - 463
[37] Lattice copies of c0 and l∞ in spaces of integrable functions for a vector measure
Okada, S.
Ricker, W. J.
Sanchez Perez, E. A.
DISSERTATIONES MATHEMATICAE, 2014, (500) : 5 - +
[38] COPIES OF c0(τ) SPACES IN PROJECTIVE TENSOR PRODUCTS
Cortes, Vinicius
Galego, Eloi Medina
Samuel, Christian
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (10) : 4305 - 4318
[39] Complemented copies of l1 and Pelczynski's property (V*) in Bochner function spaces
Randrianantoanina, N
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1996, 48 (03): : 625 - 640
[40] Asymptotically isometric copies of l∞ in Banach spaces and a theorem of Bessaga and Pelczynski
Dowling, PN
Randrianantoanina, N
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (11) : 3391 - 3397

← 1 2 3 4 5 →