Geodesic
Lipschitz approximable Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 2, pp. 187-193.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.14712/1213-7243.2020.021
Classification : 46B20, 47A15
Keywords: compact approximation property; Lipschitz map; Lipschitz-free Banach space 
@article{10_14712_1213_7243_2020_021,
     author = {Godefroy, Gilles},
     title = {Lipschitz approximable {Banach} spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {187--193},
     publisher = {mathdoc},
     volume = {61},
     number = {2},
     year = {2020},
     doi = {10.14712/1213-7243.2020.021},
     mrnumber = {4143704},
     zbl = {07286000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.021/}
}
TY  - JOUR
AU  - Godefroy, Gilles
TI  - Lipschitz approximable Banach spaces
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2020
SP  - 187
EP  - 193
VL  - 61
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.021/
DO  - 10.14712/1213-7243.2020.021
LA  - en
ID  - 10_14712_1213_7243_2020_021
ER  - 
%0 Journal Article
%A Godefroy, Gilles
%T Lipschitz approximable Banach spaces
%J Commentationes Mathematicae Universitatis Carolinae
%D 2020
%P 187-193
%V 61
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.021/
%R 10.14712/1213-7243.2020.021
%G en
%F 10_14712_1213_7243_2020_021
Godefroy, Gilles. Lipschitz approximable Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 2, pp. 187-193. doi : 10.14712/1213-7243.2020.021. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.021/

Cité par Sources :