BOUNDED SETS AND FINITE VISIBILITY

被引：1

作者：

STAVRAKAS, N ^{[1
]}

机构：

[1] UVC CHARLOTTE,DEPT MATH,CHARLOTTE,NC 28223

来源：

TOPOLOGY AND ITS APPLICATIONS | 1991年 / 42卷 / 02期

关键词：

UNIFORMLY ROTUND BANACH SPACE; STAR-SHAPED SET;

D O I：

10.1016/0166-8641(91)90023-F

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let B be a Banach space which is uniformly smooth and uniformly rotund. It is proven that if S subset-of B is bounded and has the finite visibility property, then the norm closure of S has the finite visibility property and is in fact starshaped.

引用

下载

页码：159 / 164

页数：6

共 50 条

[1] Sets of Locally Maximal Visibility and Finite Unions of Starshaped Sets
Marilyn Breen
Monatshefte für Mathematik, 2000, 130 : 1 - 5
[2] Sets of locally maximal visibility and finite unions of starshaped sets
Breen, M
MONATSHEFTE FUR MATHEMATIK, 2000, 130 (01): : 1 - 5
[3] Antipodal Theorems for Sets in Rn Bounded by a Finite Number of Spheres
Ky Fan
Set-Valued Analysis, 1999, 7 : 1 - 6
[4] Antipodal theorems for sets in Rn bounded by a finite number of spheres
Fan, KY
SET-VALUED ANALYSIS, 1999, 7 (01): : 1 - 6
[5] On the bounded and totally bounded sets
Banzaru, T
Rendi, B
PUBLICATIONES MATHEMATICAE-DEBRECEN, 1996, 48 (1-2): : 71 - 75
[6] BOUNDED AND RELATIVELY BOUNDED SETS
SHELL, N
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1987, 36 (03) : 493 - 498
[7] THE FINITE-DIMENSIONALITY OF BOUNDED INVARIANT-SETS FOR DISSIPATIVE PROBLEMS
LADYZHENSKAIA, OA
DOKLADY AKADEMII NAUK SSSR, 1982, 263 (04): : 802 - 804
[8] ON EXTREME POINTS OF BOUNDED SETS OF GENERALIZED FINITE SEQUENCE SPACES.
Kortanek, K.O.
Strojwas, H.M.
ZOR. Zeitschrift fur Operations-Research, 1983, 27 (05): : 145 - 157
[9] SUMMATION OF BOUNDED DIVERGENT SEQUENCES WITH FINITE AND INFINITE SETS OF PARTIAL LIMITS
VLASENKO, VF
MATHEMATICAL NOTES, 1979, 26 (3-4) : 778 - 781
[10] Structure of Julia sets of polynomial semigroups with bounded finite postcritical set
Stankewitz, Rich
Sumi, Hiroki
APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (01) : 479 - 488

← 1 2 3 4 5 →