Geodesic
Extension of smooth subspaces in Lindenstrauss spaces
V. P. Fonf 1   ; P. Wojtaszczyk 2
1 Department of Mathematics Ben-Gurion University of the Negev P.O. Box 653 Beer-Sheva 84105, Israel
2 Interdisciplinary Centre for Mathematical and Computational Modelling University of Warsaw Prosta 69 02-838 Warszawa, Poland and Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland
Studia Mathematica, Tome 222 (2014) no. 2, pp. 157-163 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm222-2-3
Keywords: follows earlier results israel math appear gurariy space every finite dimensional smooth subspace contained bigger smooth subspace property does characterise gurariy space among lindenstrauss spaces provide various examples spaces have property

V. P. Fonf  1   ; P. Wojtaszczyk  2

1 Department of Mathematics Ben-Gurion University of the Negev P.O. Box 653 Beer-Sheva 84105, Israel
2 Interdisciplinary Centre for Mathematical and Computational Modelling University of Warsaw Prosta 69 02-838 Warszawa, Poland and Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland 
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     title = {Extension of smooth subspaces in {Lindenstrauss} spaces},
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V. P. Fonf; P. Wojtaszczyk. Extension of smooth subspaces in Lindenstrauss spaces. Studia Mathematica, Tome 222 (2014) no. 2, pp. 157-163. doi: 10.4064/sm222-2-3

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