13 citations · 25 across the 8 of their papers we have counts for
6 papers · 1 filter
Ultrafilter characters and local -bases
Jerzy Kcakol
We completely resolve Question~5.3 of Kania's paper \cite{Kania} and establish a more general realization theorem. We show that for infinite cardinals , a space wi…
Separable quotients of pointwise function spaces and relative consistency
Tomasz Kania, Jerzy Kąkol
Assuming Jensen's diamond principle, we construct a separable crowded compact zero-dimensional space of weight and cardinality such that has…
Normal sequences without strongly normal subsequences
Jerzy Kąkol
A sequence in the unit sphere of is strongly normal if the vectors satisfying form a dense subspace. For every set of cardina…
Pointwise function spaces over compacta are not weak Banach spaces
Tomasz Kania, Jerzy Kąkol
Let be a compact Hausdorff space and let be an infinite-dimensional real Banach space. We prove that there is no continuous bijection whose inverse…
On weak*-basic sequences in duals and biduals of spaces C(X) and Quojections
Jerzy Kakol, Manuel Lopez-Pellicer, Wieslaw Sliwa
We show that for infinite Tychonoff spaces X and Y the weak*-dual of Ck(X x Y) contains a basic sequence; moreover, the weak*-bidual of Ck(X) contains such a sequence as well. When…
Amenability constants for unconditional sums of Banach algebras
Tomasz Kania, Jerzy Kąkol
We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family of Banach algebras and a Banach sequence lattice on~, the -…