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:

1972-05-01

Pagination or Media Count:

13.0

Abstract:

The space CX E of E valued bound continuous functions on a compact space X is represented as a subspace of CX x B sub E and the extreme linear functionals phi of norm 1 on CX 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 CX 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