13 citations · 25 across the 8 of their papers we have counts for
10 papers · 1 filter
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…