Generalized L(f) Spaces

Abstract

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) letthe summation is taken over Γ, and setIf Γ is countable Q(Γ) will be denoted by Q and LΓ(F) by L(F). LetNote thatsee [4, 5 and 6].

Hadron Production in Neutrino–nucleon Interactions at High Energies

“…(1). The figure shows also that neutrinos (ν) produce more particles than antineutrinos (ν) at the same incident energy and in both cases the yield of particles is much less than the corresponding case of hadron nucleon collisions [7]. Moreover, Fig.…”