Geodesic
A Note on Unconditional Bases
Canadian mathematical bulletin, Tome 15 (1972) no. 3, pp. 369-372

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

A sequence (xi) in a Banach space X is a Schauder basis for X provided for each x∊X there is a unique sequence of scalars (a i) such that 1.1 convergence in the norm topology. It is well known [1] that if (xi) is a (Schauder) basis for X and (fi) is defined by 1.2 where then fi(xj) = δij and fi∊X* for each positive integer i.A sequence (xi) is a éasic sequence in X if (xi) is a basis for [xi], where the bracketed expression denotes the closed linear span of (xi). 
Holub, J. R.; Retherford, J. R. A Note on Unconditional Bases. Canadian mathematical bulletin, Tome 15 (1972) no. 3, pp. 369-372. doi: 10.4153/CMB-1972-067-1
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