Unconditionally converging and compact operators on \(c_ 0\)
type: Item
instance of: scholarly article
title: Unconditionally converging and compact operators on \(c_ 0\)
zbMATH Open document ID: 0783.47030
author: Elizabeth Bator
published in: Rocky Mountain Journal of Mathematics
publication date: 1993-01-17T00:00:00Z
review text: The author showed that if \(Y\) is a Banach space, then \(c_ 0\) embeds in \(Y\) if and only if for every infinite dimensional Banach space \(X\), there exists a noncompact operator \(T:X\to Y\). The author obtained the result by studying the noncompact bounded linear operators \(T: c_ 0\to X\).
reviewed by: Peng-Yee Lee
Mathematics Subject Classification ID: 47B07
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 47B37
Mathematics Subject Classification ID: 46B22
zbMATH DE Number: 97415
zbMATH Keywords: noncompact operator
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072738
OpenAlex ID: W2042826166
cites work: Some connections between Pettis integration and opertor theory
cites work: Q3329946
cites work: Q4148368
cites work: A Characterization of Banach Spaces Containing l 1
DOI: 10.1216/RMJM/1181072738
description: scientific article; zbMATH DE number 97415