Lipschitz operator ideals and the approximation property

Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)

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Achour;Rueda;Sánchez - Lipschitz operator ideals and the approximation property.pdf (461.21 KB)
LipschitzOpIdealVEditor.pdf (488.89 KB)

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2016-04-01

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Handle

https://riunet.upv.es/handle/10251/150346

Cita bibliográfica

Achour, D.; Rueda, P.; Sánchez Pérez, EA.; Yahi, R. (2016). Lipschitz operator ideals and the approximation property. Journal of Mathematical Analysis and Applications. 436(1):217-236. https://doi.org/10.1016/j.jmaa.2015.11.050

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Resumen

[EN] We establish the basics of the theory of Lipschitz operator ideals with the aim of recovering several classes of Lipschitz maps related to absolute summability that have been introduced in the literature in the last years. As an application we extend the notion and main results on the approximation property for Banach spaces to the case of metric spaces. (C) 2015 Elsevier Inc. All rights reserved.

Palabras clave

Lipschitz operator ideal, Lipschitz mapping, Approximation property, Lipschitz absolutely summing operators

Fuente

Journal of Mathematical Analysis and Applications issn: 0022-247X

DOI

10.1016/j.jmaa.2015.11.050

Versión del editor

https://doi.org/10.1016/j.jmaa.2015.11.050

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