Extremal points without compactness in L1(μ)

被引：0

作者：

Martellotti, Anna ^{[1
]}

机构：

[1] Dipartimento Matemat & Informat, I-06123 Perugia, Italy

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2007年 / 5卷 / 02期

关键词：

mu-a.e. convergence topology of L-1(mu); extremal points; extremal faces; Kuratowski sum;

D O I：

10.1155/2007/234694

中图分类号：

学科分类号：

摘要：

We investigate the existence of extremal points and the Krein-MIlman krepresentation A = (co) over bar ExtA of bounded convex subsets of L-1(mu) which are only closed with respect to the topology of mu-a.e. convergence.

引用

页码：199 / 211

页数：13

共 7 条

[1] A PROOF THAT EVERY BANACH SPACE IS SUBREFLEXIVE [J].

BISHOP, E ;

PHELPS, RR .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1961, 67 (01) :97-&

[2]

Bukhvalov AV, 1995, OPER THEOR, V75, P95

[3]

DINCULEANU N, 1965, VECTOR MEASURES

[4]

GILES JR, 1982, VCONVEX ANAL APPL DI

[5]

KLUNANEK I, 1975, VECTOR MEASURES CONT

[6]

Kothe G., 1969, TOPOLOGICAL VECTOR S, V159

[7] AN EMBEDDING THEOREM FOR SPACES OF CONVEX SETS [J].

RADSTROM, H .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 3 (01) :165-169

← 1 →