Spaces of operators and \(c_0\) (Q2717574)
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scientific article; zbMATH DE number 1605173
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spaces of operators and \(c_0\) |
scientific article; zbMATH DE number 1605173 |
Statements
17 June 2001
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imbedding of Banach spaces
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complementation
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spaces of operators
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0.97875535
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0.9489054
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0.9348825
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0.93043756
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0.92237747
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Spaces of operators and \(c_0\) (English)
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Let \(X\) be an infinite-dimensional and \(Y\) be an arbitrary Banach space. Assume that \(c_0\) imbeds into \(L(X,Y)\). The author shows that in this case \(\ell^\infty\) imbeds into \(L(X,Y)\) and \(\ell^1\) imbeds complementably in \(X\otimes_\gamma Y^*\). As an application, imbeddings of \(c_0\) into various spaces of operators are considered.
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