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arXiv:math/9303202 [math.FA]AbstractReferencesReviewsResources

Topologies on the set of all subspaces of a banach space and related questions of banach space geometry

Mikhail I. Ostrovskii

Published 1993-03-29Version 1

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 $G(X)$.

Journal: Quaestiones Math., 17 (1994), no. 3, 259-319
Categories: math.FA
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