An elementary proof of Douglas' theorem on contractive projections on \(L_ 1\)-spaces (Q1310397)
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scientific article; zbMATH DE number 480468
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An elementary proof of Douglas' theorem on contractive projections on \(L_ 1\)-spaces |
scientific article; zbMATH DE number 480468 |
Statements
An elementary proof of Douglas' theorem on contractive projections on \(L_ 1\)-spaces (English)
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24 November 1994
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The authors present a very short, new, clear and elementary proof of Douglas' theorem on two equivalent conditions for a linear operator \(T:L_ 1 (\Sigma) \to L_ 1 (\Sigma)\). Douglas' theorem has been proven and generalized in many papers.
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contractive projections on \(L_ 1\)-spaces
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Douglas' theorem
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