AVERAGING RESULT FOR L1-SEQUENCES AND APPLICATIONS TO WEAKLY CONDITIONALLY COMPACT SETS IN LX1

被引：37
作者：
BOURGAIN, J
机构：
[1] Department of Mathematics, Vrije Universiteit, Brussels, 1050, Pleinlaan 2
来源：
ISRAEL JOURNAL OF MATHEMATICS | 1979年 / 32卷 / 04期
关键词：
D O I：
10.1007/BF02760458
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish a theorem on l 1-sequences obtained by averaging of semi-norms. The result is applied in the study of weakly conditionally compact subsets of L x 1, where X is a Banach space. © 1979 The Weizmann Science Press of Israel.
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页码：289 / 298
页数：10
相关论文
共 11 条
[1]  
BOURGAIN J, UNPUBLISHED
[2]  
Diestel J., 1977, THEORY VECTOR MEASUR
[3]  
Dunford N, 1958, LINEAR OPERATORS, VI
[4]   SEPARABLE SOMEWHAT REFLEXIVE BANACH-SPACE WITH NONSEPARABLE DUAL [J].
JAMES, RC .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 80 (04) :738-743
[5]   UNIFORMLY NON-SQUARE BANACH SPACES [J].
JAMES, RC .
ANNALS OF MATHEMATICS, 1964, 80 (03) :542-&
[6]  
LINDENSTRAUSS J, 1977, CLASSICAL BANACH SPA, V1, P92
[7]   DOUBLE-DUAL CHARACTERIZATION OF SEPARABLE BANACH-SPACES CONTAINING L1 [J].
ODELL, E ;
ROSENTHAL, HP .
ISRAEL JOURNAL OF MATHEMATICS, 1975, 20 (3-4) :375-384
[8]  
PISIER G, CR ACAD SCI PARIS A, V286, P747
[9]   CHARACTERIZATION OF BANACH-SPACES CONTAINING L [J].
ROSENTHAL, HP .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1974, 71 (06) :2411-2413
[10]   POINT-WISE COMPACT SUBSETS OF 1ST BAIRE CLASS [J].
ROSENTHAL, HP .
AMERICAN JOURNAL OF MATHEMATICS, 1977, 99 (02) :362-378
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