SMOOTHNESS AND ESTIMATES OF SEQUENCES IN BANACH-SPACES

被引：14

作者：

GONZALO, R

JARAMILLO, JA

机构：

[1] Departmento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, Madrid

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1995年 / 89卷 / 1-3期

关键词：

D O I：

10.1007/BF02808207

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An upper bound for the order of smoothness of bump functions in Banach spaces without copy of c(0) is found in terms of lower and upper estimates of their sequences. It is also shown that every C-infinity-smooth Banach space with symmetric basis either contains c(0) or is isomorphic to l(2n) for some integer n.

引用

页码：321 / 341

页数：21

共 50 条

[41] SKEWNESS IN BANACH-SPACES
FITZPATRICK, S
REZNICK, B
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 275 (02) : 587 - 597
[42] HOMOGENEOUS BANACH-SPACES
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[43] POLYHEDRAL BANACH-SPACES
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[J]. MATHEMATICAL NOTES, 1981, 30 (3-4) : 809 - 813
[44] CLASS OF BANACH-SPACES
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[48] PRIMARY BANACH-SPACES
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[50] STABLE BANACH-SPACES
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