Matrices that commute with certain hausdorff matrices

David Borwein, Amnon Jakimovski

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that if an infinite matrix A satisfies AC = CA where C is either a Cesàro matrix Holder matrix Ha each of order or 4, then the matrix A is triangular, and hence is a Hausdorff matrix. We prove also that corresponding to each real a > 4 there exists a non-triangular matrix A with rows in that commutes with Ha, and that corresponding to each integer a > 4 there exists a non-triangular matrix A with rows in AEi that commutes with In addition, we prove results concerning infinite matrices that commute with Ha when a is a fraction of a certain kind or with the Euler matrix (E, q).

Original languageEnglish
Pages (from-to)227-244
Number of pages18
JournalAnalysis (Germany)
Volume18
Issue number3
DOIs
StatePublished - 1998

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