Examples of hereditarily \(\ell ^ 1\) Banach spaces failing the Schur property
type: Item
instance of: scholarly article
title: Examples of hereditarily \(\ell ^ 1\) Banach spaces failing the Schur property
zbMATH Open document ID: 0609.46012
author: Parviz Azimi
author: James N. Hagler
published in: Pacific Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The authors construct a class of separable Banach sequence spaces which are hereditarily \(\ell^ 1\) dual spaces but fail the Schur property and are of codimension one in their first Baire class. Other properties are given.
Mathematics Subject Classification ID: 46B25
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46A45
zbMATH DE Number: 3985913
zbMATH Keywords: separable Banach sequence spaces
zbMATH Keywords: hereditarily \(\ell ^ 1\) dual spaces
zbMATH Keywords: Schur property
reviewed by: Joe Howard
MaRDI profile type: Publication
full work available at URL: pjm.1986.122.287
OpenAlex ID: W2018899786
DOI: 10.2140/PJM.1986.122.287
description: scientific article; zbMATH DE number 3985913