A note on three-space Banach space ideals
type: Item
instance of: scholarly article
title: A note on three-space Banach space ideals
zbMATH Open document ID: 0574.47029
DOI: 10.1007/BF01197495
author: Teresa Álvarez
author: Victor M. Onieva
author: M. González
published in: Archiv der Mathematik
publication date: 1986-01-01T00:00:00Z
review text: Let E be a minimal Banach space in the sense that every infinite dimensional subspace contains in turn a copy of E, and let NE be the class of all Banach spaces containing no copy of E. In this note we show that NE is a three-space injective ideal; in particular, NX is such an ideal where X is either \(c_ 0\) or \(\ell_ p\) \((1\leq p<\infty)\) or the Tsirelson space.
Mathematics Subject Classification ID: 47L10
zbMATH DE Number: 3917062
zbMATH Keywords: minimal Banach space
zbMATH Keywords: three-space injective ideal
zbMATH Keywords: Tsirelson space
MaRDI profile type: Publication
cites work: On Tsirelson's space
cites work: The Three Space Problem and Ideals of Operators
cites work: Q5640213
cites work: Q4136031
cites work: Notes on Banach Ideals
cites work: On totally incomparable Banach spaces
full work available at URL: https://doi.org/10.1007/bf01197495
OpenAlex ID: W2057813910
description: scientific article; zbMATH DE number 3917062