Factorizing operators on Banach function spaces through spaces of multiplication operators (Q847055)
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scientific article; zbMATH DE number 5669058
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Factorizing operators on Banach function spaces through spaces of multiplication operators |
scientific article; zbMATH DE number 5669058 |
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Factorizing operators on Banach function spaces through spaces of multiplication operators (English)
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12 February 2010
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The paper deals with factorization of operators \(T\) acting on a Banach function space \(X(\mu)\) over a finite measure \(\mu\). Under certain conditions, it is proved that \(T\) factorizes through a space of multiplication operators which can be understood as the optimal domain for \(T\). Examples and applications of the results, including the Hardy operator and a factorization theorem through Hilbert spaces, are given.
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Banach function spaces
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factorisation of operators
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multiplication operators
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vector measures
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