Extension of smooth subspaces in Lindenstrauss spaces

• Autorzy: V. P. Fonf , P. Wojtaszczyk
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 222
• Numer: 2
• Strony: 157-163

Daty

wydano

2014

Twórcy

autor

V. P. Fonf

• Department of Mathematics, Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel

autor

P. Wojtaszczyk

• Interdisciplinary Centre for Mathematical and Computational Modelling, University of Warsaw, Prosta 69, 02-838 Warszawa, Poland
• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-656 Warszawa, Poland

Identyfikatory

DOI

10.4064/sm222-2-3