Extension of smooth subspaces in Lindenstrauss spaces
Volume 222 / 2014
Studia Mathematica 222 (2014), 157-163
MSC: Primary 46B20.
DOI: 10.4064/sm222-2-3
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.
