The chi functions in generalized summability
type: Item
instance of: scholarly article
title: The chi functions in generalized summability
zbMATH Open document ID: 0696.40007
author: F. C. Leary
published in: Real Analysis Exchange
publication date: 1990-01-01T00:00:00Z
review text: In a 1971 paper, Baric defined a generalized summability analogue to the chi functional of scalar summability. His definition, valid for conservative matrices, is extended to arbitrary conservative transformations. Additionally, analogues to the functionals \(\chi_ n\) are also defined. If certain precautions are taken, the new functions \(\chi\) and \(\chi_ n\) share many of the properties of their classical counterparts and these properties are used to extend several classical results to the general setting. A necessary and sufficient condition for a conservative matrix to have a matrix inverse is obtained.
Mathematics Subject Classification ID: 40J05
Mathematics Subject Classification ID: 40C05
zbMATH DE Number: 4140439
zbMATH Keywords: chi functional
zbMATH Keywords: scalar summability
zbMATH Keywords: conservative transformations
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4140439