4 papers · 1 filter
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…