Special uniform approximations of continuous vector-valued functions. I: Special approximations in \(C_X(T)\) (Q1867525)
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scientific article; zbMATH DE number 1891517
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Special uniform approximations of continuous vector-valued functions. I: Special approximations in \(C_X(T)\) |
scientific article; zbMATH DE number 1891517 |
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Special uniform approximations of continuous vector-valued functions. I: Special approximations in \(C_X(T)\) (English)
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2 April 2003
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The author studies special uniform approximations of functions over some linear spaces by elements of corresponding tensor products. Several theorems include a density result with respect to inductive limit topology; a Tietze-Dugundji's type extension theorem; a proof of Schauder-Tikhonov's fixed point theorem.
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uniform approximation
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tensor product
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uniform density
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extension by continuity
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