A survey on Lipschitz-free Banach spaces

• Autorzy: Godefroy G.

Identyfikatory

DOI

10.14708/cm.v55i2.1104

• Języki publikacji: EN

Abstrakty

EN

This article is a survey of Lipschitz-free Banach spaces and recent progress in the understanding of their structure.Fe results we present have been obtained in the last fifteen years (and quite often in the last five years). We give a self-contained presentation of the basic properties of Lipschitz-free Banach spaces and investigate some specific topics: non-linear transfer of asymptotic smoothness, approximation properties, norm-attainment. Section 5 consists mainly of unpublished results. A list of open problems with comentary is provided.

Słowa kluczowe

EN

Lipschitz map; geometry of Banach spaces

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2015
• Tom: Vol 55, No. 2
• Strony: 89--118
• Opis fizyczny: Bibliogr. 60 poz.

Twórcy

autor

Godefroy G.

• Institut de Mathématiques de Jussieu-Paris Rive Gauche, Case 247, 4 place Jussieu, 75005 Paris, France

Bibliografia

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