Original Articles

A NON-LINEAR ℓ ₁ PROBLEM

Published in: Quaestiones Mathematicae
Volume 20 , issue 4 , 1997 , pages: 605–610

DOI: 10.1080/16073606.1997.9632229

Author(s): Anthony Weston Department of Mathematics and Applied Mathematics, South Africa

Keywords: 46B20 , 46B20

Abstract

In this note we consider a non-linear problem posed to the author in a private communication with Per Enflo: If a normed space X contains a non-linear ℓ ₁ ⁽ⁿ⁾-cube (where n ≥ 2 is a natural number) does it necessarily contain a linear isometric copy of ℓ ₁ ⁽ⁿ⁾?

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