Estimating the norm of a conditional extension of a linear functional (Q799895)
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scientific article; zbMATH DE number 3873972
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimating the norm of a conditional extension of a linear functional |
scientific article; zbMATH DE number 3873972 |
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Estimating the norm of a conditional extension of a linear functional (English)
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1983
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In the notations of the previous review, conditions are established in order that \(P(f;Y;m)\neq\emptyset.\) Moreover, the endpoints of the interval \(\{\| F\|;\quad F\in P(f;Y;m)\}\) are determined and cases when it is finite are discussed. Further, the connection with yet existent results (for example the case \(m=0\) and Y a cone) as well as applications to the cases \(X=C[0,1],\quad X=L[0,1]\) are given.
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conditional extensions of a linear functional
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