A well-known theorem by H. Corson states that if a Banach space admits a locally finite
covering by bounded closed convex subsets, then it contains no infinite-dimensional …

A well-known result due to H. Corson states that, for any covering τ by closed bounded
convex subsets of any Banach space X containing an infinite-dimensional reflexive …

A well-known result due to H. Corson has been recently improved by the authors. In its final
form it essentially reads as follows: for any covering τ by closed bounded convex subsets of …

We answer in the affirmative the following question raised by HH Corson in 1961:“Is it
possible to cover every Banach space X by bounded convex sets with non-empty interior in …

Covering L p Spaces by Balls | SpringerLink Skip to main content Advertisement SpringerLink
Log in Menu Find a journal Publish with us Search Cart 1.Home 2.The Journal of Geometric …

In this paper we provide a short proof of the fact that if $ X $ is a Banach space and $ f:
X\to\mathbb {R}\cup\{\infty\} $ is a proper function such that $ fx^* $ attains its minimum for …

By a ball-covering B of a Banach space X, we mean a collection of open balls off the origin
in X and whose union contains the unit sphere of X; a ball-covering B is called minimal if its …

Let E be a locally convex space over C (Lc. s.), being a subspace of an lcs F, and letf be the
identity embedding of E into F. The following question is posed: find those spaces E such …

We study star-finite coverings of infinite-dimensional normed spaces. A family of sets is
called star-finite if each of its members intersects only finitely many other members of the …

By using the concept of farthest points, we show that the set of strongly exposing functionals
of a weakly compact convex subset in a Banach space $ X $ is a dense ${G_\delta} $ in …