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

[21] EQUAL SIGNS ADDITIVE SEQUENCES IN BANACH-SPACES
BRUNEL, A
SUCHESTON, L
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1976, 21 (03) : 286 - 304
[22] BANACH-SAKS EXPONENT OF CERTAIN BANACH-SPACES OF SEQUENCES
RAKOV, SA
[J]. MATHEMATICAL NOTES, 1982, 32 (5-6) : 791 - 797
[23] TOTAL BOUNDED EXTENSIONS OF BIORTHOGONAL SEQUENCES IN BANACH-SPACES
VANDULST, D
[J]. MATHEMATISCHE ANNALEN, 1974, 212 (01) : 45 - 46
[24] BANACH-SPACES
GRUSON, L
VANDERPUT, M
[J]. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1974, (39-4): : 55 - 100
[25] STABILITY OF BANACH-SPACES OF VECTOR-VALUED SEQUENCES
BASTERO, J
MIRA, JM
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1984, 299 (08): : 339 - 341
[26] ON ESTIMATES OF THE RATE OF CONVERGENCE IN THE INVARIANCE-PRINCIPLE FOR BANACH-SPACES
BOROVKOV, AA
SAKHANENKO, AI
[J]. THEORY OF PROBABILITY AND ITS APPLICATIONS, 1980, 25 (04) : 721 - 731
[27] UNIFORM CONVEXITY AND SMOOTHNESS IN EACH DIRECTION IN NONSEPARABLE BANACH-SPACES WITH NONCONDITIONAL BASIS
TROYANSKI, SL
[J]. DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1977, 30 (09): : 1243 - 1246
[28] EMBEDDING UNCONDITIONAL STABLE BANACH-SPACES INTO SYMMETRICAL STABLE BANACH-SPACES
BASTERO, J
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1986, 53 (03) : 373 - 380
[29] A CODING OF SEPARABLE BANACH-SPACES - ANALYTIC AND COANALYTIC FAMILIES OF BANACH-SPACES
BOSSARD, B
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 316 (10): : 1005 - 1010
[30] A NONLINEAR METHOD FOR CONSTRUCTING CERTAIN BASIC SEQUENCES IN BANACH-SPACES
GHOUSSOUB, N
MAUREY, B
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 1990, 34 (03) : 607 - 613

← 1 2 3 4 5 →