Integral mappings between Banach spaces (Q1874574)
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scientific article; zbMATH DE number 1915732
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral mappings between Banach spaces |
scientific article; zbMATH DE number 1915732 |
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Integral mappings between Banach spaces (English)
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25 May 2003
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The author studies integral mappings between Banach spaces. He considers some classes of ``Grothendieck-integral'' (G-integral) and ``Pietsch-integral'' (P-integral) multilinear operators. It is shown that a multilinear operator between Banach spaces is G- or P-integral if and only if its linearization is of the same kind on the injective product of the spaces.
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integral operators
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multilinear operator
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spaces of continuous functions
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injective tensor product
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