14 citations · 18 across the 4 of their papers we have counts for
4 papers
Norming subspaces of Banach spaces
Vladimir P. Fonf, Sebastian Lajara, Stanimir Troyanski +1
We show that, if is a closed subspace of a Banach space and is a closed subspace of such that is norming for and is total over (as well as is…
Almost overcomplete and almost overtotal sequences in Banach spaces
Vladimir P. Fonf, Clemente Zanco
The new concepts are introduced of almost overcomplete sequence in a Banach space and almost overtotal sequence in a dual space. We prove that any of such sequences is relatively n…
Covering spaces by balls
Vladimir P. Fonf, Michael Levin, Clemente Zanco
We prove that, given any covering of any separable infinite-dimensional uniformly rotund and uniformly smooth Banach space by closed balls each of positive radius, some point e…
On a question by Corson about point-finite coverings
Andrea Marchese, Clemente Zanco
We answer in the affirmative the following question raised by H. H. Corson in 1961: "Is it possible to cover every Banach space X by bounded convex sets with nonempty interior in s…