19 citations · 38 across the 7 of their papers we have counts for
4 papers · 2 filters
On biorthogonal systems whose functionals are finitely supported
Christina Brech, Piotr Koszmider
We show that for each natural it is consistent that there is a compact Hausdorff space such that in there is no uncountable (semi)biorthogonal sequence $…
On universal Banach spaces of density continuum
Christina Brech, Piotr Koszmider
We consider the question whether there exists a Banach space of density continuum such that every Banach space of density not bigger than continuum isomorphically embeds into $…
Thin-very tall compact scattered spaces which are hereditarily separable
Christina Brech, Piotr Koszmider
We strengthen the property of a function considered by Baumgartner and Shelah. This allows us to consider new types of amalgamations in th…
On the density of Banach {} spaces with the Grothendieck property
Christina Brech
Using the method of forcing we prove that consistently there is a Banach space of continuous functions on a compact Hausdorff space with the Grothendieck property and with density…