Complemented subspaces of products of Banach spaces (Q2723493)
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scientific article; zbMATH DE number 1614763
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complemented subspaces of products of Banach spaces |
scientific article; zbMATH DE number 1614763 |
Statements
Complemented subspaces of products of Banach spaces (English)
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5 July 2001
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injective space
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complemented subspace
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uncountable product of Banach spaces
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product of complemented subspaces
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product of injective Fréchet spaces
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The main purpose of this paper is to prove the following result: A complemented subspace of an uncountable product of Banach spaces is a product of complemented subspaces of countable subproducts (Theorem 2.2). As an immediate corollary of this result it is proved that every injective locally convex space is isomorphic to a product of injective Fréchet spaces (Corollary 2.3).
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