2-summing operators on \(C([0, 1], l_p\)) with values in \(l_{1}\) (Q841203)
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scientific article; zbMATH DE number 5603923
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 2-summing operators on \(C([0, 1], l_p\)) with values in \(l_{1}\) |
scientific article; zbMATH DE number 5603923 |
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2-summing operators on \(C([0, 1], l_p\)) with values in \(l_{1}\) (English)
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14 September 2009
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The author studies the operator \(U: C([0,1],\ell_p) \longrightarrow \ell_1\) (\(1 \leq p < \infty\)) defined by \[ U(f) = \left( \int_{0}^{1} \langle f(t),e_n \rangle g_n(t) \,dt \right)_{n \in \mathbb{N}} \] and gives necessary and sufficient conditions that \(U\) be 1-summing and 2-summing.
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Banach spaces of continuous functions
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tensor products
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operator ideals
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\(p\)-summing operators
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