Geodesic
Isometric Preduals of James Spaces
Canadian journal of mathematics, Tome 32 (1980) no. 1, pp. 59-69

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A Banach space B is called an isometric predual, or simply a predual, of a Banach space X if the dual B* of B is isometrically isomorphic to X. A Banach space X is said to have a unique (isometric) predual if X has a predual and all preduals are mutually isometrically isomorphic. In general a Banach space does not have a unique predual even if it has a predual. A simple example of this is the space l1 , because c0 and c are isometric preduals of l1 but not isometrically isomorphic. A. Grothendieck [3] first noticed that L ∞-spaces have unique preduals, and then S. Sakai generalized this to von Neumann algebras (see p. 30 of [9]). 
Brown, Leon; Ito, Takashi. Isometric Preduals of James Spaces. Canadian journal of mathematics, Tome 32 (1980) no. 1, pp. 59-69. doi: 10.4153/CJM-1980-006-2
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