An example of a universal Banach space

A. Szankowski

doi:10.1007/BF02789321

An example of a universal Banach space

A. Szankowski^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	292-296
Number of pages	5
Journal	Israel Journal of Mathematics
Volume	11
Issue number	3
DOIs	https://doi.org/10.1007/BF02789321
State	Published - Sep 1972
Externally published	Yes

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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.",

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AB - 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.

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An example of a universal Banach space

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