An example of a universal Banach space

A. Szankowski*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We construct a separable reflexive Banach space X which is complementably universal for all finite dimensional Banach spaces. By this we mean: for every finite dimensional Banach space E there is isometric embedding i:E→X such that there exists a projection P: → onto with {norm of matrix}P{norm of matrix}=1.

Original languageEnglish
Pages (from-to)292-296
Number of pages5
JournalIsrael Journal of Mathematics
Volume11
Issue number3
DOIs
StatePublished - Sep 1972
Externally publishedYes

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