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

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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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     author = {Ellis, H. W. and Hiscocks, J. D.},
     title = {Integral {Functionals} in the {Duals} of {L\ensuremath{\lambda}-Spacesc(1)}},
     journal = {Canadian mathematical bulletin},
     pages = {489--499},
     year = {1972},
     volume = {15},
     number = {4},
     doi = {10.4153/CMB-1972-087-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-087-4/}
}
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