Unconditionally converging and compact operators on \(c_ 0\) (Q1201194)
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scientific article; zbMATH DE number 97415
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unconditionally converging and compact operators on \(c_ 0\) |
scientific article; zbMATH DE number 97415 |
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Unconditionally converging and compact operators on \(c_ 0\) (English)
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17 January 1993
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The author showed that if \(Y\) is a Banach space, then \(c_ 0\) embeds in \(Y\) if and only if for every infinite dimensional Banach space \(X\), there exists a noncompact operator \(T:X\to Y\). The author obtained the result by studying the noncompact bounded linear operators \(T: c_ 0\to X\).
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noncompact operator
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