Infinite dimensional geometric properties of real interpolation spaces

被引：6
作者：
Kutzarova, D
Nikolova, LI
Prus, S
机构：
[1] Bulgarian Acad Sci, Inst Math, BU-1090 Sofia, Bulgaria
[2] Univ Sofia, Dept Math, BU-1126 Sofia, Bulgaria
[3] Marie Curie Sklodowska Univ, Dept Math, PL-20031 Lublin, Poland
来源：
MATHEMATISCHE NACHRICHTEN | 1998年 / 191卷
关键词：
interpolation spaces; nearly uniform convexity;
D O I：
10.1002/mana.19981910111
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Estimates for the moduli of noncompact convexity of l(p)-sums and real interpolation spaces for finite families of spaces are given. It is proved that such an interpolation preserves nearly uniform convexity and property (beta).
引用
收藏
页码：215 / 228
页数：14
相关论文
共 22 条
[1]  
[Anonymous], 1977, INTERPOLATION THEORY
[2]   CONDITIONS INVOLVING COMPACTNESS IN GEOMETRY OF BANACH-SPACES [J].
BANAS, J ;
FRACZEK, K .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 20 (10) :1217-1230
[3]   ON MODULUS OF NONCOMPACT CONVEXITY AND ITS PROPERTIES [J].
BANAS, J .
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1987, 30 (02) :186-192
[4]  
Beauzamy B, 1978, LECT NOTES MATH, V666
[5]   MODULI OF CONVEXITY AND SMOOTHNESS [J].
FIGIEL, T .
STUDIA MATHEMATICA, 1976, 56 (02) :121-155
[6]  
GOEBEL K., 1990, TOPICS METRIC FIXED
[7]  
GOEBEL K, 1984, ANN U M CURIE SKLO A, V38, P41
[8]  
Holmstedt T., 1969, J FUNCT ANAL, V4, P88, DOI DOI 10.1016/0022-1236(69)90023-8
[9]  
Huff R., 1980, Rocky Mt. J. Math., V10, P743
[10]   K-BETA AND K-NEARLY UNIFORMLY CONVEX BANACH-SPACES [J].
KUTZAROVA, D .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 162 (02) :322-338
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