12 citations · 66 across the 20 of their papers we have counts for
4 papers · 2 filters
Overcomplete sets in non-separable Banach spaces
Tommaso Russo, Jacopo Somaglia
We introduce and study the notion of overcomplete set in a Banach space, that subsumes and extends the classical concept of overcomplete sequence in a (separable) Banach space. We…
Smooth norms in dense subspaces of Banach spaces
Sheldon Dantas, Petr Hájek, Tommaso Russo
In the first part of our paper, we show that has a dense linear subspace which admits an equivalent real analytic norm. As a corollary, every separable Banach space,…
On densely isomorphic normed spaces
Petr Hájek, Tommaso Russo
In the first part of our note we prove that every Weakly Lindelöf Determined (WLD) (in particular, every reflexive) non-separable Banach space contains two dense linear subspac…
A note on symmetric separation in Banach spaces
Tommaso Russo
We present some new results on the symmetric Kottman's constant of a Banach space and its relationship with the Kottman constant. We show that , for every in…