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Extreme Functionals on Spaces of Vector Valued Functions.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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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
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