Orlicz-Pettis theorems for multiplier convergent series
type: Item
instance of: scholarly article
title: Orlicz-Pettis theorems for multiplier convergent series
zbMATH Open document ID: 0933.46005
DOI: 10.4171/ZAA/851
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2000-03-29T00:00:00Z
review text: The authors point out that the multiplier convergence results as well as the classical Orlicz-Pettis theorem and some of its generalizations are corollaries of a general result which is based on the fact that all of these multiplier sequence spaces have the canonical unit vectors as a Schauder basis for an appropriate locally convex topology.
reviewed by: Sushil Sharma
Mathematics Subject Classification ID: 46A35
Mathematics Subject Classification ID: 46A03
Mathematics Subject Classification ID: 46A45
zbMATH DE Number: 1270162
zbMATH Keywords: multiplier convergence
zbMATH Keywords: Orlicz-Pettis theorem
zbMATH Keywords: multiplier sequence spaces
zbMATH Keywords: Schauder basis
author: Charles Swartz
author: Christopher E. Stuart
MaRDI profile type: Publication
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cites work: Unconditional convergent series on locally convex spaces
full work available at URL: https://doi.org/10.4171/zaa/851
OpenAlex ID: W2008722508
description: scientific article; zbMATH DE number 1270162