14 citations · 31 across the 8 of their papers we have counts for
8 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…
Polyhedrality and decomposition
Trond A. Abrahamsen, Vladimir P. Fonf, Richard J. Smith +1
The aim of this note is to present two results that make the task of finding equivalent polyhedral norms on certain Banach spaces, having either a Schauder basis or an uncountable…
Boundaries and polyhedral Banach spaces
Vladimir P Fonf, Richard J Smith, Stanimir Troyanski
We show that if and are Banach spaces, where is separable and polyhedral, and if is a bounded linear operator such that contains a boundary o…
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…
Polyhedrality in Pieces
V. P. Fonf, A. J. Pallares, R. J. Smith +1
The aim of this paper is to present two tools, Theorems 4 and 7, that make the task of finding equivalent polyhedral norms on certain Banach spaces easier and more transparent. The…
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…
A note on fragmentability and weak-G_delta sets
V. P. Fonf, R. J. Smith, S. Troyanski
In terms of fragmentability, we describe a new class of Banach spaces which do not contain weak-G_delta open bounded subsets. In particular, none of these spaces is isomorphic to a…
Reconstruction theorem for homeomorphism groups without small sets and non-shrinking functions of a normed space
Vladimir P. Fonf, Matatyahu Rubin
We prove a reconstruction theorem for homeomorphism groups of open sets in metrizable locally convex topological vector spaces. We show that certain small subgroups of the full hom…