ADJOINT CHARACTERIZATIONS OF UNBOUNDED WEAKLY COMPACT, WEAKLY COMPLETELY CONTINUOUS AND UNCONDITIONALLY CONVERGING OPERATORS

被引:0
作者
ALVAREZ, T [1 ]
CROSS, RW [1 ]
GOUVEIA, AI [1 ]
机构
[1] UNIV CAPE TOWN,DEPT MATH,RONDEBOSCH 7700,SOUTH AFRICA
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Characterisations are obtained for the following classes of unbounded linear operators between normed spaces: weakly compact, weakly completely continuous, and unconditionally converging operators. Examples of closed unbounded operators belonging to these classes are exhibited. A sufficient condition is obtained for the weak compactness of T' to imply that of T.
引用
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页码:283 / 298
页数:16
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