Geodesic
Monotone and E-Schauder Bases of Subspaces
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 233-241

Voir la notice de l'article provenant de la source Cambridge University Press

The notions of monotone bases and bases of subspaces are well known in a normed linear space setting and have obvious extensions to pseudo-metrizable linear topological spaces. In this paper, these notions are extended to arbitrary linear topological spaces. The principal result gives a list of properties that are equivalent to a sequence (Mi) of complete subspaces being an e-Schauder basis of subspaces for the closed linear span of . A corollary of this theorem is the fact that an e-Schauder basis for a dense subspace of a linear topological space is an e-Schauder basis for the whole space. 
Russo, John P. Monotone and E-Schauder Bases of Subspaces. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 233-241. doi: 10.4153/CJM-1968-022-6
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