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Geometry and structure of Lipschitz-free spaces and their biduals

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Geometry and structure of Lipschitz-free spaces and their biduals

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Aliaga Varea, RJ. (2020). Geometry and structure of Lipschitz-free spaces and their biduals [Tesis doctoral]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/159256

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/159256

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Title: Geometry and structure of Lipschitz-free spaces and their biduals
Author: Aliaga Varea, Ramón José
Director(s): Guirao Sánchez, Antonio José
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Read date / Event date:
2020-12-14
Issued date:
Abstract:
[ES] Los espacios libres Lipschitz F(M) son linearizaciones canónicas de espacios métricos M cualesquiera. Más concretamente, F(M) es el único espacio de Banach que contiene una copia isométrica de M que es linearmente ...[+]


[CA] Els espais lliures Lipschitz F(M) són linearitzacions canòniques d'espais mètrics M qualssevol. Més concretament, F(M) és l'únic espai de Banach que conté una còpia isomètrica de M que és linealment densa, i tal que ...[+]


[EN] Lipschitz-free spaces F(M) are canonical linearizations of arbitrary complete metric spaces M. More specifically, F(M) is the unique Banach space that contains an isometric copy of M that is linearly dense, and such ...[+]
Subjects: Funciones lipschitzianas , Punto extremo , Espacios libres Lipschitz , Espacio Lipschitz , Radon measure , Lipschitz space , Lipschitz-free space , Integral representation , Extreme point , Real-valued Lipschitz functions
Copyrigths: Reserva de todos los derechos
DOI: 10.4995/Thesis/10251/159256
Publisher:
Universitat Politècnica de València
Project ID:
MINECO/MTM2017-83262-C2-2-P
Thanks:
The author would like to thank Marek Cúth, Michal Doucha, Antonio José Guirao, Gilles Lancien and Eva Pernecká for their careful reading and correction of this document or parts of it. Some activities related to this ...[+]
Type: Tesis doctoral

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