On the constant of Lipschitz approximability

Medina Sabino, Rubén

doi:10.1090/tran/9110

S0002-9947-2024-09110-9.pdf (311.9Kb)

Identificadores

URI: https://hdl.handle.net/10481/91980

DOI: 10.1090/tran/9110

Exportar

Editorial

American Mathematical Society

Fecha

2024-02-20

Referencia bibliográfica

Rubén Medina. On the constant of Lipschitz approximability. Trans. Amer. Math. Soc. 377 (2024), 2925-2945 DOI: https://doi.org/10.1090/tran/9110

Patrocinador

PID2021-122126NB-C31 AEI (Spain) project; FPU19/04085 MIU (Spain) Grant; Junta de Andalucia Grants FQM-0185 and PY20 00255; GA23-04776S project (Czech Republic); SGS22/053/OHK3/1T/13 project (Czech Republic)

Resumen

In this note we find λ > 1 and give an explicit construction of a separable Banach space X such that there is no λ-Lipschitz retraction from X onto any compact convex subset of X whose closed linear span is X. This is closely related to a well-known open problem raised by Godefroy and Ozawa in 2014 and represents the first known example of a Banach space with such a property.

Colecciones

DAM - Artículos

Excepto si se señala otra cosa, la licencia del ítem se describe como Attribution-NoDerivatives 4.0 Internacional