Accession Number : AD0283432

Title :   BANACH FUNCTION SPACES OF VECTOR VALUED FUNCTIONS

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : RYAN,ROBERT

Report Date : JUN 1962

Pagination or Media Count : 1

Abstract : The study of Banach spaces is considered, the elem nts of which are classes of measurable functions defined on a locally compact Hausdorff space with values in a fixed Banach space. Th norms of the spaces tudied are expressed in terms of length functions defined for positive measurable functions. Certain properties of the length function and the range space of the vector valued functions are reflected in the Banach function space. A representation is established of the dual spaces of these Banach function spaces in certain cases. (Author)

Descriptors :   *FUNCTIONAL ANALYSIS, TOPOLOGY

Distribution Statement : APPROVED FOR PUBLIC RELEASE