Extreme points in function spaces
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- by Dirk Werner PDF
- Proc. Amer. Math. Soc. 89 (1983), 598-600 Request permission
Abstract:
We show that the extreme points of the unit ball of $C(K,{L^1}(\mu ))$ ($K$ compact Hausdorff, $(\Omega ,\Sigma ,\mu )$ arbitrary) are precisely the functions with extremal values. The result is applied to characterize the extreme points of the unit ball of certain spaces of compact operators.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 89 (1983), 598-600
- MSC: Primary 46E40; Secondary 47D15
- DOI: https://doi.org/10.1090/S0002-9939-1983-0718980-3
- MathSciNet review: 718980