Accession Number : AD0680789

Title :   ON FINITE DIMENSIONAL FATOU'S LEMMA.

Descriptive Note : Research memo.,

Corporate Author : HEBREW UNIV JERUSALEM (ISRAEL) DEPT OF MATHEMATICS

Personal Author(s) : Schmeidler,David

Report Date : OCT 1968

Pagination or Media Count : 11

Abstract : The following generalization of Fatou's lemma is proven: Lemma: Let (f sub n) be a sequence of integrable functions on a measure space S with values in the non negative orthant of a d-dimensional Euclidean space, for which the integral of (f sub n) (arrow) (1,...,1), n = 1,2,... Then there exists an integrable function f such that the integral of f = or < (1,...,1) and for a.e. s in S f(s) is a limit point of (f sub n(s)). When d = 1, one has an equivalent form of Fatou's lemma. (Author)

Descriptors :   (*ECONOMICS, MEASURE THEORY), GAME THEORY, CONVEX SETS, THEOREMS, ISRAEL

Subject Categories : Economics and Cost Analysis
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE