18 citations · 135 across the 55 of their papers we have counts for
4 papers · 1 filter
Symmetrically separated sequences in the unit sphere of a Banach space
Petr Hájek, Tomasz Kania, Tommaso Russo
We prove the symmetric version of Kottman's theorem, that is to say, we demonstrate that the unit sphere of an infinite-dimensional Banach space contains an infinite subset wit…
The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces
Kevin Beanland, Tomasz Kania, Niels Jakob Laustsen
We present two new examples of reflexive Banach spaces for which is not a Grothendieck space, namely (the Tsirelson space) and (the $p^{\text…
Restricting uniformly open surjections
Tomasz Kania, Martin Rmoutil
We employ the theory of elementary submodels to improve a recent result by Aron, Jaramillo and Le Donne (Ann. Acad. Sci. Fenn. Math., to appear) concerning restricting uniformly op…
When is multiplication in a Banach algebra open?
Szymon Draga, Tomasz Kania
We develop the theory of Banach algebras whose multiplication (regarded as a bilinear map) is open. We demonstrate that such algebras must have topological stable rank 1, however t…