BANACH-SPACES HAVING THE PROPERTY GL

被引:2
作者
REISNER, S
机构
[1] Technion Israel Institute Of Technology, Haifa
关键词
D O I
10.2140/pjm.1979.83.505
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A Banach space E has the property G. L. if every absolutely summing: Operator defined on E factors through an L1-space. Some properties of spaces having G. L. property are investigated, using methods of Banach ideals of operators. © 1979 by Pacific Journal of Mathematics.
引用
收藏
页码:505 / 521
页数:17
相关论文
共 20 条
[1]   APPLICATIONS OF ULTRAPRODUCTS TO STUDY ON BANACH ALGEBRAS AND SPACES [J].
DACUNHACASTELLE, D ;
KRIVINE, JL .
STUDIA MATHEMATICA, 1972, 41 (03) :315-+
[2]  
DAVIS WJ, 1974, STUD MATH, V51, P81
[3]  
DIESTEL J., 1972, REV ROUMAINE MATH PU, V17, P1611
[4]   BANACH SPACES X FOR WHICH II2(L INFINITY, X) = B(L INFINITY, X) [J].
DUBINSKY, E ;
PELCZYNS.A ;
ROSENTHA.HP .
STUDIA MATHEMATICA, 1972, 44 (06) :617-648
[5]   BANACH-LATTICES AND SPACES HAVING LOCAL UNCONDITIONAL STRUCTURE, WITH APPLICATIONS TO LORENTZ FUNCTION SPACES [J].
FIGIEL, T ;
JOHNSON, WB ;
TZAFRIRI, L .
JOURNAL OF APPROXIMATION THEORY, 1975, 13 (04) :395-412
[6]  
GORDON Y, 1975, STUD MATH, V54, P161
[7]   ABSOLUTELY SUMMING OPERATORS AND LOCAL UNCONDITIONAL STRUCTURES [J].
GORDON, Y ;
LEWIS, DR .
ACTA MATHEMATICA, 1974, 133 (1-2) :27-48
[8]  
Gordon Y., 1973, J FUNCT ANAL, V14, P85, DOI DOI 10.1016/0022-1236(73)90031-1
[9]  
JOHNSON WB, 1974, STUDIA MATH, V51, P223
[10]  
Kwapie S, 1972, B SOC MATH FRANCE ME, V31-32, P215