The set of divergent infinite products in a Banach space is \(\sigma\)-porous (Q1811422)
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scientific article; zbMATH DE number 1925955
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The set of divergent infinite products in a Banach space is \(\sigma\)-porous |
scientific article; zbMATH DE number 1925955 |
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The set of divergent infinite products in a Banach space is \(\sigma\)-porous (English)
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2002
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The authors study several convergence properties of infinite products of non-expansive self-mappings of \(K\), where \(K\) is a bounded closed convex subset of a Banach space. In former papers, they have considered several spaces of sequences of such self-mappings. In the present paper, they prove that the subsets consisting of all sequences of mappings with divergent infinite products are not only of the first Baire category, but also \(\sigma\)-porous.
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complete metric space
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fixed point
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generic property
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hyperbolic space
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infinite product
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non-expansive mapping
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porous set
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