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 language | English |
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Pages (from-to) | 227-244 |
Number of pages | 18 |
Journal | Analysis (Germany) |
Volume | 18 |
Issue number | 3 |
DOIs | |
State | Published - 1998 |