Bases of complemented subspaces of functional spaces (Q756658)
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scientific article; zbMATH DE number 4192413
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bases of complemented subspaces of functional spaces |
scientific article; zbMATH DE number 4192413 |
Statements
Bases of complemented subspaces of functional spaces (English)
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1990
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Let (X,m) be a measure space and let \((a_ r)^{\infty}_{r=1}\) be a sequence of nonnegative measurable functions on X. By \(L_ 2(a_ r)\) we shall denote weighted \(L_ 2\)-space. Let E be a projective limit of \(L_ 2(a_ r)\) with respect to natural embeddings. Sufficient conditions for complemented subspaces of E to have unconditional bases are obtained.
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Köthe space
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weighted \(L_ 2\)-space
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projective limit
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complemented subspaces
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unconditional bases
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