Geodesic
On the Notion of the Dual of a Banach Bundle
Matematičeskie trudy, Tome 2 (1999) no. 1, pp. 8-71 Cet article a éte moissonné depuis la source Math-Net.Ru

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For an arbitrary continuous Banach bundle over an arbitrary topological space, the notion of a dual bundle is introduced and studied. Various necessary and sufficient conditions are presented for existence of a dual bundle, duality relations are examined between a bundle and its dual, an embedding of a bundle into its second dual is constructed, the notion of a weakly continuous section is introduced and studied. The questions under consideration are treated in the general case as well as for concrete classes of bundles and topological spaces. The results obtained are supplied with examples that justify accuracy of the results. 
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     author = {A. E. Gutman and A. V. Koptev},
     title = {On~the~Notion of {the~Dual} of {a~Banach~Bundle}},
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A. E. Gutman; A. V. Koptev. On the Notion of the Dual of a Banach Bundle. Matematičeskie trudy, Tome 2 (1999) no. 1, pp. 8-71. http://geodesic.mathdoc.fr/item/MT_1999_2_1_a1/