The Banach space JT is primary
type: Item
instance of: scholarly article
title: The Banach space JT is primary
zbMATH Open document ID: 0535.46011
published in: Pacific Journal of Mathematics
publication date: 1983-01-01T00:00:00Z
review text: The James' tree space JT is an example due to R. C. James of a Banach space with nonseparable dual which does not contain \(\ell_ 1\). Here it is proved that for every bounded linear operator U on JT there is a subspace \(X\subset JT\), isometric to JT, such that either U or (I-U) acts isomorphically on X and either UX or (I-U)X is complemented in JT. As a consequence, JT is primary.
Mathematics Subject Classification ID: 46B25
zbMATH DE Number: 3849854
zbMATH Keywords: primary space
zbMATH Keywords: James' tree space
zbMATH Keywords: Banach space with nonseparable dual
author: Alfred D. Andrew
MaRDI profile type: Publication
full work available at URL: pjm.1983.108.9
OpenAlex ID: W2038052260
DOI: 10.2140/PJM.1983.108.9
description: scientific article; zbMATH DE number 3849854