Strictly (co)singular operators, the Meyer-König Zeller property, and sums of Banach spaces
type: Item
instance of: scholarly article
title: Strictly (co)singular operators, the Meyer-König Zeller property, and sums of Banach spaces
zbMATH Open document ID: 0661.46016
author: A. K. Snyder
published in: Illinois Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The author studies the following two properties a subspace Y of a Banach space Z may have: (1) If X is a subspace of Z for which \(X+Y=Z\), then \(X=Z.\) (2) If \(W\subset X\), a Banach space containing Z, then \(W\cap Z\) is closed in W whenever \(W\cap Z\subset Y.\) Results relating (1) to strictly cosingular operators and (2) to strictly singular operators are given. From these several known results of Bennett, Meyer-König, and the author which were originally proved by other methods are derived.
Mathematics Subject Classification ID: 46B25
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 4080146
zbMATH Keywords: Meyer-König Zeller property
zbMATH Keywords: sums of Banach spaces
zbMATH Keywords: strictly cosingular operators
zbMATH Keywords: strictly singular operators
reviewed by: James R. Holub
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4080146