Strong Choquet Topologies on the Closed Linear Subspaces of Banach Spaces
Description:
In the study of Banach spaces, the development of some key properties require studying topologies on the collection of closed convex subsets of the space. The subcollection of closed linear subspaces is studied under the relative slice topology, as well as a class of topologies similar thereto. It is shown that the collection of closed linear subspaces under the slice topology is homeomorphic to the collection of their respective intersections with the closed unit ball, under the natural mapp…
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Date:
August 2011
Creator:
Farmer, Matthew Ray
Partner:
UNT Libraries