Geodesic
On the Cones Associated with Biorthogonal Systems and Bases in Banach Spaces
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 1206-1217

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

1. Let E be a Banach space (by this we shall mean, for simplicity, a real Banach space) and (xn,fn ) ({xn } ⊂ E, {fn } ⊂ E *) a biorthogonal system, such that {fn } is total on E (i.e. the relations x ∈ E,fn (x) = 0, n = 1, 2, ..., imply x = 0). Then it is natural to consider the cone 1 which we shall call “the cone associated with the biorthogonal system (xn,fn )”. In particular, if {xn } is a basis of E and {fn } the sequence of coefficient functional associated with the basis {xn }, this cone is nothing else but 2 and we shall call it “the cone associated with the basis {xn}”. 
Mcarthur, C. W.; Singer, Ivan; Levin, Mark. On the Cones Associated with Biorthogonal Systems and Bases in Banach Spaces. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 1206-1217. doi: 10.4153/CJM-1969-133-7
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