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

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 $G(X)$.

References in corpus (1)

• Classes of Banach spaces stable and unstable with respect to the opening