A GENERAL STATEMENT OF NECESSARY AND SUFFICIENT CONDITIONS FOR INTEGRAL FUNCTIONALS

被引:1
|
作者
CALIGARIS, O
OLIVA, P
机构
[1] UNIV TORINO SEDE ALESSANDRIA,I-15100 ALESSANDRIA,ITALY
[2] UNIV GENOA,IST MATEMAT INGN,I-16129 GENOA,ITALY
关键词
D O I
10.1080/01630569308816520
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Necessary and sufficient conditions for an integral functional defined in the space A(V) of all absolutely continuous functions strongly depend upon the choice of duality pairing. Here we examine the situations that arise when duality is meant between the spaces A(V), A*(V*) and A**(V). A very general form of necessary conditions is found and it is shown that it reduces to some known forms.
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页码:249 / 263
页数:15
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