On the Hadamard sequence spaces \(h^p(X)\) and the \(p\)-summing operators (Q493329)
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scientific article; zbMATH DE number 6478186
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Hadamard sequence spaces \(h^p(X)\) and the \(p\)-summing operators |
scientific article; zbMATH DE number 6478186 |
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On the Hadamard sequence spaces \(h^p(X)\) and the \(p\)-summing operators (English)
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3 September 2015
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In this interesting paper, we find the answer to some open questions concerning the Hadamard sequence space. Also, the authors present and study the concept of \(p\)-\(HH\)-summing operators between arbitrary Banach spaces similar to the definition of \(p\)-summing operators, but this new definition is given by using the \(p\)-\(HH\)-norms related to the Hadamard sequence space. Finally, we find a large study about the connection between the notion of set-valued \(p\)-summing operators and \(p\)-\(HH\)-summing operators.
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sequence space
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\(p\)-summing operator
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Hadamard sequence spaces
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0.9127552
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0.89405257
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0.8911437
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0.88751423
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0.88745713
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0.8865216
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