The abstract Dirichlet problem for continuous vector-valued functions |
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| Authors: | Jiří Spurný |
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| Affiliation: | 1.Department of Mathematical Analysis, Faculty of Mathematics and Physics,Charles University in Prague,Praha 8,Czech Republic |
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| Abstract: | Let X be a simplex with the set ({text {ext}}, X) of extreme points being Lindelöf. We show that a continuous bounded mapping defined on ({text {ext}}, X) with values in a Fréchet space F can be extended to a mapping that is a pointwise limit of a bounded sequence of affine continuous mappings from X to F. |
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