Extension of smooth subspaces in Lindenstrauss spaces

V. P. Fonf; P. Wojtaszczyk

doi:10.4064/sm222-2-3

Extension of smooth subspaces in Lindenstrauss spaces

V. P. Fonf, P. Wojtaszczyk

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	157-163
Number of pages	7
Journal	Studia Mathematica
Volume	222
Issue number	2
DOIs	https://doi.org/10.4064/sm222-2-3
State	Published - 1 Jan 2014

Keywords

Gurariy space
Lindenstrauss spaces
Smooth subspaces
Spaces of continuous functions

ASJC Scopus subject areas

General Mathematics

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10.4064/sm222-2-3

Cite this

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KW - Spaces of continuous functions

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Extension of smooth subspaces in Lindenstrauss spaces

Abstract

Keywords

ASJC Scopus subject areas

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