A uniformly convex Banach space whose subspaces fail Gordon-Lewis property
type: Item
instance of: scholarly article
title: A uniformly convex Banach space whose subspaces fail Gordon-Lewis property
zbMATH Open document ID: 0926.46011
published in: Archiv der Mathematik
publication date: 1999-11-22T00:00:00Z
review text: In 1993, the famous \textit{W. T. Gowers} and \textit{B. Maurey} example of a hereditary indecomposable Banach space appeared [J. Am. Math. Soc. 6, No. 4, 851-874 (1993; Zbl 0827.46008)]. Subsequently a lot of work was done to improve their construction. Thus, Ferenczi presented an example of a uniformly convex hereditarily indecomposable space, and Habala obtained an example of a Banach space all subspaces of which fail the Gordon-Lewis property; his space also turned out to be hereditarily indecomposable. In this paper the authors construct a uniformly convex hereditarily indecomposable space all subspaces of which fail the Gordon-Lewis property.
reviewed by: Dirk Werner
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B70
Mathematics Subject Classification ID: 46B15
zbMATH DE Number: 1292439
zbMATH Keywords: hereditarily indecomposable space
zbMATH Keywords: Gordon-Lewis property
zbMATH Keywords: uniformly convex space
author: Valentin Ferenczi
author: Petr Habala
MaRDI profile type: Publication
full work available at URL: s000130050293
OpenAlex ID: W2088205163
DOI: 10.1007/S000130050293
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description: scientific article; zbMATH DE number 1292439