Extreme Functionals on Spaces of Vector Valued Functions.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1972
- Accession Number
- AD0744333
Entities
People
- R. C. Buck
Organizations
- University of Wisconsin–Madison