Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps
We prove that if M is an infinite complete metric space, then the set of strongly norm-attaining Lipschitz functions SNA.M/ contains a linear subspace isomorphic to c0. This solves an open question posed by V. Kadets and Ó. Roldán. © 2023 Real Sociedad Matemática Española.
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/381362 |
| Acceso en línea: | http://hdl.handle.net/10261/381362 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85151284445&doi=10.4171%2fRMI%2f1425&partnerID=40&md5=c8f6d0b49ca3730e25c439c770d6aa4f |
| Access Level: | acceso abierto |
| Palabra clave: | Linear subspaces Space of Lipschitz functions Norm attainmen Strong |
| Sumario: | We prove that if M is an infinite complete metric space, then the set of strongly norm-attaining Lipschitz functions SNA.M/ contains a linear subspace isomorphic to c0. This solves an open question posed by V. Kadets and Ó. Roldán. © 2023 Real Sociedad Matemática Española. |
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