61 citations · 398 across the 51 of their papers we have counts for
4 papers · 1 filter
On Banach spaces whose group of isometries acts micro-transitively on the unit sphere
Félix Cabello Sánchez, Sheldon Dantas, Vladimir Kadets +3
We study Banach spaces whose group of isometries acts micro-transitively on the unit sphere. We introduce a weaker property, which one-complemented subspaces inherit, that we call…
On the numerical index with respect to an operator
Vladimir Kadets, Miguel Martin, Javier Meri +2
Given Banach spaces and , and a norm-one operator , the numerical index with respect to , , is the greatest constant such that…
Norm attaining operators of finite rank
Vladimir Kadets, Gines Lopez, Miguel Martin +1
We provide sufficient conditions on a Banach space in order that there exist norm attaining operators of rank at least two from into any Banach space of dimension at least…
Generalized-lush spaces revisited
Vladimir Kadets, Olesia Zavarzina
We study geometric properties of GL-spaces. We demonstrate that every finite-dimensional GL-space is polyhedral; that in dimension 2 there are only two, up to isometry, GL-spaces,…