Sublattices of the Banach envelope of weak L1

被引：4

作者：

Lotz, HP ^{[1
]}

Peck, NT ^{[1
]}

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 01期

关键词：

Banach lattice; Banach envelope; Lorentz space; weak L-1; weak L-p; lattice isometry; order isometry;

D O I：

10.1090/S0002-9939-98-03506-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that every separable Banach lattice is lattice isometric to a closed sublattice of the Banach envelope of Weak L-1.

引用

页码：75 / 84

页数：10

共 50 条

[41] Complemented copies of l1 in Banach spaces with an unconditional basis
Finol, Carlos
Wojtowicz, Marek
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 342 (01) : 83 - 88
[42] SUBSPACES OF BANACH SPACES WHOSE DUALS ARE L1 SPACES
ZIPPIN, M
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (05): : 780 - &
[43] REPRESENTATIONS OF DYNAMICAL SYSTEMS ON BANACH SPACES NOT CONTAINING l1
Glasner, E.
Megrelishvili, M.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (12) : 6395 - 6424
[44] The point of continuity property in Banach spaces not containing l1
Lopez Perez, Gines
Soler Arias, Jose A.
ISRAEL JOURNAL OF MATHEMATICS, 2012, 191 (01) : 347 - 361
[45] CONVEXITY AND BANACH ENVELOPE OF THE WEAK-LP SPACES
ARINO, MA
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 100 (04) : 661 - 665
[46] KAHANES CONSTRUCTION AND WEAK SEQUENTIAL COMPLETENESS OF L1
HEARD, EA
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (03): : A330 - A330
[47] IMPACT OF DENTABILITY ON WEAK-CONVERGENCE IN L1
RZEZUCHOWSKI, T
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1992, 6A (01): : 71 - 80
[48] WEAK CONVERGENCE OF AREA OF NONPARAMETRIC L1 SURFACES
MICHENER, KE
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 234 (01) : 175 - 184
[49] A Measure of Weak Noncompactness in L1(RN) and Applications
Boulfoul, Bilal
Djebali, Smail
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (02)
[50] BANACH SPACES WHOSE DUALS CONTAIN L1(GAMMA) WITH APPLICATIONS TO STUDY OF DUAL L1(MU SPACES)
STEGALL, C
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 176 (449) : 463 - 477

← 1 2 3 4 5 →