Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps (Q6118800)
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scientific article; zbMATH DE number 7810711
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps |
scientific article; zbMATH DE number 7810711 |
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Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps (English)
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28 February 2024
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Summary: We prove that if \(M\) is an infinite complete metric space, then the set of strongly norm-attaining Lipschitz functions \(\mathrm{SNA}(M)\) contains a linear subspace isomorphic to \(c_0\). This solves an open question posed by V. Kadets and Ó. Roldán.
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strong norm attainment
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space of Lipschitz functions
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linear subspaces
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