Geodesic
On the Dual of L1
Canadian mathematical bulletin, Tome 8 (1965) no. 6, pp. 809-818

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

If (X, S,μ) is an arbitrary complemented measure space and X is σ-finite then (L1)* = L∞ or, more precisely, (L1)* is isometric and isomorphic to L∞ by the correspondence It is well known that there exist non σ-finite spaces with (L1)* ≥ L∞. 
Ellis, H. W. On the Dual of L1. Canadian mathematical bulletin, Tome 8 (1965) no. 6, pp. 809-818. doi: 10.4153/CMB-1965-061-x
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