Applications sous-linéaires à valeurs dans un espace de fonction continues. (Sublinear mappings with values in a space of continuous functions) (Q1086790)
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scientific article; zbMATH DE number 3985922
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Applications sous-linéaires à valeurs dans un espace de fonction continues. (Sublinear mappings with values in a space of continuous functions) |
scientific article; zbMATH DE number 3985922 |
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Applications sous-linéaires à valeurs dans un espace de fonction continues. (Sublinear mappings with values in a space of continuous functions) (English)
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1984
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The authors give several conditions based upon the condition that a sublinear function f from the Banach space X into C(T) (T-compact Hausdorff) is iso lower semicontinuous which are sufficient to imply that f is approximable from below at each x in its domain by continuous affine maps from X into C(T). Examples are given to show that certain features of the sufficient conditions are necessary.
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representing a convex mapping
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sublinear function
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0.8708068
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0.8584361
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