13 citations · 25 across the 8 of their papers we have counts for
12 papers
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 -…
Continuous operators from spaces of Lipschitz functions
Christian Bargetz, Jerzy Kąkol, Damian Sobota
We study the existence of continuous (linear) operators from the Banach spaces $\mbox{Lip}_0(M)$ of Lipschitz functions on infinite metric spaces vanishing at a distinguished p…
Grothendieck -spaces and the Josefson--Nissenzweig theorem
Jerzy Kąkol, Damian Sobota, Lyubomyr Zdomskyy
For a compact space , the Banach space is said to have the -Grothendieck property if every weak* convergent sequence of f…
The Josefson--Nissenzweig theorem, Grothendieck property, and finitely supported measures on compact spaces
Jerzy Kąkol, Damian Sobota, Lyubomyr Zdomskyy
The celebrated Josefson-Nissenzweig theorem implies that for a Banach space of continuous real-valued functions on an infinite compact space there exists a sequence of R…
On non-archimedean Gurarii spaces
Jerzy Kcakol, Wiesław Kubiś, Albert Kubzdela
Let be the class of all non-archimedean finite-dimensional Banach spaces. A non-archimedean Gurarii Banach space over a non-archimedean valued field is constructe…
A separable Fréchet space of almost universal disposition
C. Bargetz, J. Kakol, W. Kubiś
The Gurari\uı space is the unique separable Banach space which is of almost universal disposition for finite-dimensional Banach spaces, which means that for every $\va…
Compact spaces generated by retractions
Wieslaw Kubis
We study compact spaces which are obtained from metric compacta by iterating the operation of inverse limit of continuous sequences of retractions. We denote this class by R. Allow…