Some Extremal Properties of Section Spaces of Banach Bundles and Their Duals
نویسنده
چکیده
When X is a compact Hausdorff space and E is a real Banach space there is a considerable literature on extremal properties of the space C(X,E) of continuous E-valued functions on X. What happens if the Banach spaces in which the functions on X take their values vary over X? In this paper, we obtain some extremal results on the section space Γ(π) and its dual Γ(π)∗ of a real Banach bundle π : → X (with possibly varying fibers), and point out the difficulties in arriving at totally satisfactory results.
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تاریخ انتشار 2002