Topologies on the set of all subspaces of a banach space and related questions of banach space geometry
Mikhail I. Ostrovskii
Abstract
For a Banach space X we shall denote the set of all closed subspaces of X by G(X). In some kinds of problems it turned out to be useful to endow G(X) with a topology. The main purpose of the present paper is to survey results on two the most common topologies on G(X).
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