Geodesic
A Note on Some Prime Hausdorff Methods of Summability
Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 299-301

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Given a matrix A = (ank ) (n, k = 0, 1, 2, ...), let (A) denote the set of all sequences x = {x k } such that {An (x)} ∊ c where An (x) = Σk=0 ∞ank xk (n≥0) and c denotes the set of all convergent sequences. It is well known (see e.g. Zeller [6] or Zeller and Beekmann [7], p. 48) that given an unbounded sequence x, there exists a regular (=permanent) matrix A with ank = 0 for k > n (and indeed with ann ≠ 0) such that (A) = c ⊕x, the linear space spanned by c and x. We call A an Einfolgenverfahren. (See [7].) In [4] Rhoades considered, inconclusively, the question whether there exists a Hausdorff matrix H such that (H)= c ⊕ x (for arbitrary unbounded sequence x). 
Parameswaran, M. R. A Note on Some Prime Hausdorff Methods of Summability. Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 299-301. doi: 10.4153/CMB-1975-058-9
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