A UNIFORM GEOMETRIC PROPERTY OF BANACH-SPACES

被引：7

作者：

MONTESINOS, V ^{[1
]}

TORREGROSA, JR ^{[1
]}

机构：

[1] UNIV POLITECN VALENCIA,ETSI IND & TELECOMUNICACIONES,DEPT MATEMAT,E-46071 VALENCIA,SPAIN

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1992年 / 22卷 / 02期

关键词：

D O I：

10.1216/rmjm/1181072759

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Property (beta) of Banach spaces was introduced by S. Roiewicz as an intermediate property between uniform convexity and nearly uniform convexity. It is proved in this note that there are Banach spaces with property (beta) which cannot be renormed in a uniform convex manner. This answers a question in [8].

引用

页码：683 / 690

页数：8

共 50 条

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SZANKOWSKI, A
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1984, 49 (04) : 343 - 359
[2] BANACH-SPACES WITH THE UNIFORM OPIAL PROPERTY
PRUS, S
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[3] ON THE DUALITY OF THE UNIFORM APPROXIMATION PROPERTY IN BANACH-SPACES
MASCIONI, V
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 1991, 35 (02) : 191 - 197
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FALSET, JG
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MORRIS, PD
[J]. STUDIA MATHEMATICA, 1976, 56 (02) : 157 - 164
[7] GEOMETRIC CHARACTERIZATION OF RADON-NIKODYM PROPERTY IN BANACH-SPACES
BOURGAIN, J
[J]. COMPOSITIO MATHEMATICA, 1978, 36 (01) : 3 - 6
[8] THE UNIFORM DEGREE OF BANACH-SPACES
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[J]. KEXUE TONGBAO, 1983, 28 (02): : 280 - 280
[9] UNIFORM EMBEDDINGS OF BANACH-SPACES
AHARONI, I
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1977, 27 (02) : 174 - 179
[10] ON BANACH-SPACES WITH MAZURS PROPERTY
LEUNG, DH
[J]. GLASGOW MATHEMATICAL JOURNAL, 1991, 33 : 51 - 54

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