Invariant means and some matrix transformations
type: Item
instance of: scholarly article
title: Invariant means and some matrix transformations
zbMATH Open document ID: 0807.40001
author: Z. U. Ahmad
author: M. Mursaleen
author: Q. A. Khan
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1994-05-10T00:00:00Z
review text: The authors consider the set of all \(\sigma\)-convergent sequences denoted by \(V_ \sigma\). After proving that \(V_ \sigma\) is a Banach space, the authors characterize the matrices transforming \(\ell_ 1\) to \(V_ \sigma\). In conclusion the absolutely \(\sigma\)-convergence sequence spaces \(\ell_ \sigma (p)\) and \(m_ \sigma (p)\) are introduced and their properties are studied.
reviewed by: D. Somasundaram
Mathematics Subject Classification ID: 40C05
Mathematics Subject Classification ID: 46A45
Mathematics Subject Classification ID: 46B45
zbMATH DE Number: 567159
zbMATH Keywords: matrix transformations
zbMATH Keywords: Banach space
zbMATH Keywords: sequence spaces
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 567159