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Let X be a simplex with the set $${\text {ext}}\, X$$extX of extreme points being Lindelöf. We show that a continuous bounded mapping defined on $${\text {ext}}\, X$$extX with values… Click to show full abstract
Let X be a simplex with the set $${\text {ext}}\, X$$extX of extreme points being Lindelöf. We show that a continuous bounded mapping defined on $${\text {ext}}\, X$$extX 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.
Keywords:
dirichlet problem;
continuous vector;
vector valued;
abstract dirichlet;
valued functions;
problem continuous
Journal Title: Archiv der Mathematik
Year Published: 2017
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Journal Title: Archiv der Mathematik
Year Published: 2017
Link to full text (if available)
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recommendations!