On polynomial approximation of operators (Q1921650)
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scientific article; zbMATH DE number 923005
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On polynomial approximation of operators |
scientific article; zbMATH DE number 923005 |
Statements
On polynomial approximation of operators (English)
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3 February 1997
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The aim of this paper is the following generalization of the Fréchet theorem: Let \(X\), \(Y\) be real Banach spaces, \(X\) be separable, \(G\subset X\) be open and non-empty, \(F: G\to Y\) be a continuous operator. There exists a sequence \(P_n: X\to Y\) of polynomials such that \(P_n(x)\to F(x)\) for every \(x\in G\).
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polynomial approximation
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Banach spaces
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operator
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