Geodesic
Some New Product Theorems in Summability
Canadian mathematical bulletin, Tome 31 (1988) no. 2, pp. 182-186

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DOI

Let A, B denote sequence-to-sequence matrix methods of summability and A · B the “dot” or iteration product defined by (A · B)x = A(Bx) for all sequences x for which this exists. Some inclusion relations are given involving the methods A, B, A · B, B · A and the method defined by the matrix product AB. We take A, B to be of certain types whose products have not been studied extensively before, e.g. H* · Ck or Ck · H* where H* is quasi-Hausdorff (and hence upper triangular) and Ck is a Cesàro matrix (which is lower triangular). The investigations show also a link between the “Product Property” A ⊂ A · B and the translativity properties of A and B.
DOI : 10.4153/CMB-1988-027-3
Mots-clés : 40C05, 40D25 
Parameswaran, Mangalam R. Some New Product Theorems in Summability. Canadian mathematical bulletin, Tome 31 (1988) no. 2, pp. 182-186. doi: 10.4153/CMB-1988-027-3
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     year = {1988},
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