Extension of smooth subspaces in Lindenstrauss spaces

V. P. Fonf, and P. Wojtaszczyk. "Extension of smooth subspaces in Lindenstrauss spaces." Studia Mathematica 222.2 (2014): 157-163. <http://eudml.org/doc/285881>.

@article{V2014,
abstract = {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.},
author = {V. P. Fonf, P. Wojtaszczyk},
journal = {Studia Mathematica},
keywords = {smooth subspace; Lindenstrauss space; Gurariy space; -preduals},
language = {eng},
number = {2},
pages = {157-163},
title = {Extension of smooth subspaces in Lindenstrauss spaces},
url = {http://eudml.org/doc/285881},
volume = {222},
year = {2014},
}

TY - JOUR
AU - V. P. Fonf
AU - P. Wojtaszczyk
TI - Extension of smooth subspaces in Lindenstrauss spaces
JO - Studia Mathematica
PY - 2014
VL - 222
IS - 2
SP - 157
EP - 163
AB - 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.
LA - eng
KW - smooth subspace; Lindenstrauss space; Gurariy space; -preduals
UR - http://eudml.org/doc/285881
ER -