Lipschitz approximable Banach spaces

Gilles Godefroy

Commentationes Mathematicae Universitatis Carolinae (2020)

  • Volume: 61, Issue: 2, page 187-193
  • ISSN: 0010-2628

Abstract

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We show the existence of Lipschitz approximable separable spaces which fail Grothendieck's approximation property. This follows from the observation that any separable space with the metric compact approximation property is Lipschitz approximable. Some related results are spelled out.

How to cite

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Godefroy, Gilles. "Lipschitz approximable Banach spaces." Commentationes Mathematicae Universitatis Carolinae 61.2 (2020): 187-193. <http://eudml.org/doc/297033>.

@article{Godefroy2020,
abstract = {We show the existence of Lipschitz approximable separable spaces which fail Grothendieck's approximation property. This follows from the observation that any separable space with the metric compact approximation property is Lipschitz approximable. Some related results are spelled out.},
author = {Godefroy, Gilles},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {compact approximation property; Lipschitz map; Lipschitz-free Banach space},
language = {eng},
number = {2},
pages = {187-193},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Lipschitz approximable Banach spaces},
url = {http://eudml.org/doc/297033},
volume = {61},
year = {2020},
}

TY - JOUR
AU - Godefroy, Gilles
TI - Lipschitz approximable Banach spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2020
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 61
IS - 2
SP - 187
EP - 193
AB - We show the existence of Lipschitz approximable separable spaces which fail Grothendieck's approximation property. This follows from the observation that any separable space with the metric compact approximation property is Lipschitz approximable. Some related results are spelled out.
LA - eng
KW - compact approximation property; Lipschitz map; Lipschitz-free Banach space
UR - http://eudml.org/doc/297033
ER -

References

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