A Unifying Note on Fatou's Lemma in Several Dimensions.

reportActive / Technical Report | Accession Number: ADA116156 | Open PDF

Abstract:

A general version of Fatous lemma in several dimensions is presented. It generalizes the Fatou lemmas given by Schmeidler 1970, Hildenbrand 1974, Cesari-Suryanarayana 1978 and Artstein 1979. Also, it is equivalent to an abstract variational existence result that extends and generalizes results by Aumann-Perles 1965, Berliocchi-Lasry 1973, Artstein 1974 and Balder 1979 in several respects. Author

Author(s):
Balder, E. J.
Author Organization(s):
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0023

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-2368
Contract/Grant Number(s):
DAAG29-80-C-0041
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_5.3_Planning; JCA_6.1_Information Transport; JCA_6_Net Centric; JCA_1.2_Force Preparation; JCA_1_Force Support; JCA_1.2.3_Educating
Communities of Interest:
Materials and Manufacturing Processes
Descriptor(s):
*Finite element analysis, *Variations, Control theory, Economics, Algebra, Variables, Integrals, Continuity
Field(s)/Group(s):
Theoretical Mathematics, Operations Research
Keyword(s):
Fatou lemma, Borel algebra, Borel measurable functions, Integrable function, Normal integrand, Metrizable Lusin spaces, Equivalents
Report Date:
1982 Apr 01