Accession Number : AD0433476


Title :   WEAK CONVERGENCE IN CERTAIN SPECIAL BANACH SPACES,


Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER


Personal Author(s) : Chatterji,S D


Report Date : Dec 1963


Pagination or Media Count : 20


Abstract : This report gives a theorem which provides a set of necessary and sufficient conditions to ensure the weak compactness of a set in the space of Bochner-integrable functions on a finite measure space taking values in a reflexive Banach space. The conditions and the proof are analogous to those in the scalar-valued case. Three other theorems and their proofs give preparatory material including a description of linear functionals on the space mentioned above and its weak completeness. (Author)


Descriptors :   *FUNCTIONAL ANALYSIS , OPERATORS(MATHEMATICS) , MEASURE THEORY , TOPOLOGY , LINEAR SYSTEMS , SPECIAL FUNCTIONS(MATHEMATICS)


Distribution Statement : APPROVED FOR PUBLIC RELEASE