Accession Number : AD0744333

Title :   Extreme Functionals on Spaces of Vector Valued Functions.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Buck,R. C.

Report Date : MAY 1972

Pagination or Media Count : 13

Abstract : The space C(X : E) of E valued bound continuous functions on a compact space X is represented as a subspace of C(X x B sub E) and the extreme linear functionals phi of norm 1 on C(X : E) arise as the product of the points of X and extreme points of B sub E, the dual ball of E. This is generalized, using the Buck-Phelps Theorem to identify extreme functionals phi in the set of those that annihilate certain submodules of C(X : E). (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, VECTOR SPACES), TOPOLOGY, CONVEX SETS, ALGEBRA, INEQUALITIES, APPROXIMATION(MATHEMATICS), THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE