On the Gelfand-Phillips property in \(\epsilon\)-tensor products (Q578553)
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scientific article; zbMATH DE number 4013325
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Gelfand-Phillips property in \(\epsilon\)-tensor products |
scientific article; zbMATH DE number 4013325 |
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On the Gelfand-Phillips property in \(\epsilon\)-tensor products (English)
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1986
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In the main result of this note we show that for certain Banach spaces E and F the \(\epsilon\)-tensor product E\({\tilde \otimes}_{\epsilon}F\) inherits the Gelfand-Phillips property from E and F. In particular we obtain conditions under which spaces of vector valued continuous functions have the Gelfand-Phillips property.
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\(\epsilon \)-tensor product
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Gelfand-Phillips property
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spaces of vector valued continuous functions
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