Geodesic
Generalized L(f) Spaces
Canadian journal of mathematics, Tome 37 (1985) no. 4, pp. 700-709

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

Given any set Γ, let be the family of all finite subsets of . Let f:[0, ∞) → R satisfying: (1) f(x) = 0 if and only if x = 0, (2) f is increasing, (3) f(x + y) ≧ f(x) + f(y) for all x, y ≦ 0, and (4) f is continuous at zero from the right. Such an f is called a modules. Let C be the set of all moduli, and F = {fv ∊ C:v ∊ Γ). Q(Γ) will denote the set of all such F, s. For each F ∊ Q(Γ) let the summation is taken over Γ, and set If Γ is countable Q(Γ) will be denoted by Q and L Γ(F) by L(F). Let Note that see [4, 5 and 6]. 
Hussein, D.; Natsheh, M. A.; Qumsiyeh, I. Generalized L(f) Spaces. Canadian journal of mathematics, Tome 37 (1985) no. 4, pp. 700-709. doi: 10.4153/CJM-1985-037-1
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