Extension of smooth subspaces in Lindenstrauss spaces
Studia Mathematica, Tome 222 (2014) no. 2, p. 157.
Voir la notice de l'article dans European Digital Mathematics Library
It follows from our earlier results [Israel J. Math., to appear] that in the Gurariy space G every finite-dimensional smooth subspace is contained in a bigger smooth subspace. We show that this property does not characterise the Gurariy space among Lindenstrauss spaces and we provide various examples to show that C(K) spaces do not have this property.
Classification :
46B04, 46B20
Mots-clés : smooth subspace, Lindenstrauss space, Gurariy space, -preduals
Mots-clés : smooth subspace, Lindenstrauss space, Gurariy space, -preduals
@article{STUMA_2014__222_2_285881, author = {V. P. Fonf and P. Wojtaszczyk}, title = {Extension of smooth subspaces in {Lindenstrauss} spaces}, journal = {Studia Mathematica}, pages = {157}, publisher = {mathdoc}, volume = {222}, number = {2}, year = {2014}, zbl = {1311.46012}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/STUMA_2014__222_2_285881/} }
V. P. Fonf; P. Wojtaszczyk. Extension of smooth subspaces in Lindenstrauss spaces. Studia Mathematica, Tome 222 (2014) no. 2, p. 157. https://geodesic-test.mathdoc.fr/item/STUMA_2014__222_2_285881/