18 citations · 135 across the 55 of their papers we have counts for
4 papers · 1 filter
On bases that are closed under multiplication
Tomasz Kania
It is well known that there is no basis of the field for real numbers regarded as a vector space over any proper subfield that is closed under multiplication. Mabry has extended th…
Recovering a compact Hausdorff space from the compatibility ordering on
Tomasz Kania, Martin Rmoutil
Let and be scalar-valued, continuous functions on some topological space. We say that dominates in the compatibility ordering if coincides with on the suppo…
Vector-valued invariant means revisited once again
Tomasz Kania
Banach spaces that are complemented in the second dual are characterised precisely as those spaces which enjoy the property that for every amenable semigroup there exists a…
A singular, admissible extension which splits algebraically, but not strongly, of the algebra of bounded operators on a Banach space
Tomasz Kania, Niels Jakob Laustsen, Richard Skillicorn
Let be the Banach space constructed by Read (J. London Math. Soc. 1989) such that the Banach algebra of bounded operators on admits a discontinuous derivat…