Integral Representation of Linear Functionals on Spaces of Sections

Anthony Karel Seda
1984 Proceedings of the American Mathematical Society  
An integral representation is given of functionals on the normed linear space of all sections, with compact support, of a Banach bundle p: E -* X. This representation is shown to be equivalent in a certain sense to the strong lifting property on X and to the disintegration of measures property on spaces q : Y -> X over X.
doi:10.2307/2044799 fatcat:a4veubin7nbrpjwiz7dxbahksm