Operators from a subspace of the James space into its dual
type: Item
instance of: scholarly article
title: Operators from a subspace of the James space into its dual
zbMATH Open document ID: 0876.46013
DOI: 10.1007/BF01270614
author: Denny H. Leung
published in: Archiv der Mathematik
publication date: 1997-06-24T00:00:00Z
review text: Let \(J\) be the James space. It is shown that every bounded linear operator from a subspace of \(J\) into \(J'\) is weakly compact. In particular, we obtain the results of James and Andrew that \(J\) (respectively, \(J'\)) is not isomorphic to any subspace of \(J'\) (respectively, \(J\)). Similar results hold for the James tree space.
Mathematics Subject Classification ID: 46B25
Mathematics Subject Classification ID: 46B10
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 1026277
zbMATH Keywords: James space
zbMATH Keywords: bounded linear operator
zbMATH Keywords: weakly compact
zbMATH Keywords: James tree space
MaRDI profile type: Publication
cites work: James' quasi-reflexive space is not isomorphic to any subspace of its dual
cites work: A Non-Reflexive Banach Space Isometric With Its Second Conjugate Space
cites work: A separable somewhat reflexive Banach space with nonseparable dual
cites work: Banach spaces quasi-reflexive of order one
cites work: Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable
cites work: Q4136031
full work available at URL: https://doi.org/10.1007/bf01270614
OpenAlex ID: W2019405776
description: scientific article; zbMATH DE number 1026277