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

[1] SMOOTHNESS PROPERTIES IN BANACH-SPACES
MESHKOV, VZ
[J]. STUDIA MATHEMATICA, 1978, 63 (02) : 111 - 123
[2] SEQUENCES IN BANACH-SPACES
TERENZI, P
[J]. LECTURE NOTES IN MATHEMATICS, 1983, 991 : 259 - 271
[3] ON A CLASSIFICATION OF SEQUENCES IN BANACH-SPACES
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[4] ON THE GEOMETRY OF SEQUENCES IN BANACH-SPACES
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[J]. ARCHIV DER MATHEMATIK, 1983, 40 (05) : 452 - 458
[5] SMOOTHNESS AND THE ASYMPTOTIC NORMING PROPERTIES OF BANACH-SPACES
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[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1992, 45 (02) : 285 - 296
[6] ON CO SEQUENCES IN BANACH-SPACES
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[J]. ISRAEL JOURNAL OF MATHEMATICS, 1989, 67 (02) : 153 - 169
[7] INDEPENDENT SEQUENCES IN BANACH-SPACES
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[J]. ISRAEL JOURNAL OF MATHEMATICS, 1982, 41 (1-2) : 147 - 150
[8] SMOOTHNESS IN WEAKLY COMPACTLY GENERATED BANACH-SPACES
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[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1983, 52 (03) : 344 - 352
[9] AN APPLICATION OF MULTIGRADES TO BANACH-SPACES OF SEQUENCES
不详
[J]. AMERICAN MATHEMATICAL MONTHLY, 1982, 89 (08): : 592 - 592
[10] LIFTING RESULTS FOR SEQUENCES IN BANACH-SPACES
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[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1989, 105 : 117 - 121

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