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

[41] SUPERSTABLE BANACH-SPACES, STABLE DISTANCES AND UNIFORM HOMEOMORPHISMS
RAYNAUD, Y
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1983, 44 (01) : 33 - 52
[42] UNIFORM EMBEDDINGS OF METRIC-SPACES AND OF BANACH-SPACES INTO HILBERT-SPACES
AHARONI, I
MAUREY, B
MITYAGIN, BS
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1985, 52 (03) : 251 - 265
[43] BANACH-SPACES
GRUSON, L
VANDERPUT, M
[J]. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1974, (39-4): : 55 - 100
[44] ON DROP PROPERTY AND NEARLY UNIFORMLY SMOOTH BANACH-SPACES
BANAS, J
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 14 (11) : 927 - 933
[45] COMPACT HOLOMORPHIC MAPPINGS ON BANACH-SPACES AND APPROXIMATION PROPERTY
ARON, RM
SCHOTTENLOHER, M
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1976, 21 (01) : 7 - 30
[46] ON THE BANACH-SPACES WITH THE PROPERTY (V) OF PELCZYNSKI .2.
EMMANUELE, G
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 1991, 160 : 163 - 170
[47] SUBSPACES OF ASPLUND BANACH-SPACES WITH THE POINT CONTINUITY PROPERTY
FINET, C
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1987, 60 (02) : 191 - 198
[48] A STABILITY PROPERTY OF A CLASS OF BANACH-SPACES NOT CONTAINING CO
DOWLING, PN
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1992, 35 (01): : 56 - 60
[49] NOTE ON CONTRACTION EXTENSION PROPERTY IN DUAL BANACH-SPACES
OBRIEN, RC
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1977, 16 (DEC): : 490 - 492
[50] A RESTRICTION-EXTENSION PROPERTY FOR OPERATORS ON BANACH-SPACES
MASCIONI, V
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1994, 24 (04) : 1497 - 1507

← 1 2 3 4 5 →