Geodesic
Fundamental Biorthogonal Sequences and K-Norms on φ
Canadian journal of mathematics, Tome 23 (1971) no. 6, pp. 1040-1050

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

A biorthogonal sequence is a double sequence (xi,fi ) where each xi is from some locally convex space X, each fi is from X* and fi (xj ) = δij . A biorthogonal sequence is called total if the functionals (fi ) are total over X and is called fundamental if sp(xi ) is dense in X. If a biorthogonal sequence is both total and fundamental we refer to it as a Markushivich basis or, more simply, an M-basis.If (xi,fi ) is a total biorthogonal sequence for X, then X can be identified with the space of all scalar sequences (fi (x)) under the correspondence x ↔ (fi (x)). We refer to this space as the associated sequence space with respect to (xi, fi ). With this correspondence, xi corresponds to and fi corresponds to Ei , the ith coordinate functional. 
Crone, L.; Fleming, D. J.; Jessup, P. Fundamental Biorthogonal Sequences and K-Norms on φ. Canadian journal of mathematics, Tome 23 (1971) no. 6, pp. 1040-1050. doi: 10.4153/CJM-1971-108-7
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