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

Mikhail I. Ostrovskii
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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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Mikhail I. Ostrovskii. 1993-03-29. Topologies on the set of all subspaces of a banach space and related questions of banach space geometry. https://arxiv.org/abs/math/9303202

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