Geodesic
Integral Functionals in the Duals of Lλ-Spacesc(1)
Canadian mathematical bulletin, Tome 15 (1972) no. 4, pp. 489-499

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

Luxemburg and Zaanen [5] call an element φ of the topological dual of a normed or seminormed vector space V an integral if We denote the space of integrals by V I , For the L λ function spaces introduced by Ellis and Halperin [2] another Banach subspace of the dual emerges, namely the conjugate space Lλ* which is the Lλ space determined by the conjugate length function λ*-L λ* is contained in (Lλ)I but need not coincide with it. 
Ellis, H. W.; Hiscocks, J. D. Integral Functionals in the Duals of Lλ-Spacesc(1). Canadian mathematical bulletin, Tome 15 (1972) no. 4, pp. 489-499. doi: 10.4153/CMB-1972-087-4
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[1] 1. Banach, S., Théorie des opérations linéaires, Monografje Matematyczne Warsaw, 1932. Google Scholar

[2] 2. Ellis, H. W. and Israel Halperin, Function spaces determined by a levelling length function, Canad. J. Math. 5 (1963), 576-592. Google Scholar

[3] 3. Ellis, H. W. and Snow, D. O., On (L1)* for general measure spaces, Canad. Math. Bull. 6(1963), 211-230. Google Scholar

[4] 4. Halperin, Israel, Reflexivity in the Lλ function spaces, Duke Math. J. 21 (1954), 205-208. Google Scholar

[5] 5. Luxemburg, W. A. J. and Zaanen, A. C., Notes on Banach function spaces, Proc. Acad. Science, Amsterdam, (Indag. Math). Note V, A. 66 (1963), 496-504; Note VI, A. 66 (1963), 655-668. Google Scholar

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