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

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

1993-03-29

arxiv.org/abs/math/9303202v1

Quaestiones Math., 17 (1994), no. 3, 259-319

Mathematics

Functional Analysis

Scientific paper

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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