Accession Number : AD0603438

Title :   ADDITIVE FUNCTIONALS.

Descriptive Note : Technical rept. no. 93,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Chacon,R. V. ; Friedman,N.

Report Date : JUN 1964

Pagination or Media Count : 28

Abstract : In certain applications it is necessary to consider additive functionals which are not linear. The problem of representing such functionals in terms of linear functionals can best be considered by obtaining the analog of the Riesz theorem and it is this which is the principal result of this note. The proof is essentially different from that utilized for the linear case.

Descriptors :   (*FUNCTIONAL ANALYSIS, THEORY), MEASURE THEORY, SET THEORY, FUNCTIONS(MATHEMATICS), SEQUENCES(MATHEMATICS), MAPPING, CALCULUS OF VARIATIONS, MATRICES(MATHEMATICS), ELASTIC PROPERTIES, DEFORMATION

Distribution Statement : APPROVED FOR PUBLIC RELEASE