Toeplitz bases in matrix fields

Amnon Jakimovski, Dennis Russell, Michael Stieglitz

Research output: Contribution to journalArticlepeer-review

Abstract

It is the first purpose of this paper to give some of the criteria in order that the unit vectors (ek) [or more general sequences of points] should be a Toeplitz T-basis in a matrix field EA. We then develop some specific applications to Cesäro-type matrix fields, but using matrices with additional components (including slowly-varying functions) with an eye on later applications of these basis results to summabil ity- factor theorems involving order conditions.

Original languageEnglish
Pages (from-to)377-390
Number of pages14
JournalAnalysis (Germany)
Volume8
Issue number3-4
DOIs
StatePublished - Dec 1988

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