Geodesic
On the inclusion of a bounded convergence field in the space of almost convergent sequences
Glasgow mathematical journal, Tome 13 (1972) no. 1, pp. 82-90

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Let T = (tmn) be a regular matrix, and CTbe its bounded convergence field. Necessary and sufficient conditions for CT to contain the space of almost convergent sequences are well known. (See, e.g., [7, p.62]). G. M. Petersen has suggested as a problem for research the discovery of necessary and sufficient conditions for the reverse inclusion: When is CT contained in the space of almost convergent sequences? [7, p. 137, research problem 9]. In this paper we deal with this question in a more general context. First we need some notation. 
Atalla, Robert E. On the inclusion of a bounded convergence field in the space of almost convergent sequences. Glasgow mathematical journal, Tome 13 (1972) no. 1, pp. 82-90. doi: 10.1017/S0017089500001439
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