18 citations · 135 across the 55 of their papers we have counts for
4 papers · 1 filter
Surjective homomorphisms from algebras of operators on long sequence spaces are automatically injective
Bence Horváth, Tomasz Kania
We study automatic injectivity of surjective algebra homomorphisms from , the algebra of (bounded, linear) operators on , to , where is one o…
Invariant means on Abelian groups capture complementability of Banach spaces in their second duals
Adam P. Goucher, Tomasz Kania
Let be a Banach space. Then is complemented in the bidual if and only if there exists an invariant mean with respect to a free Abelian gro…
Large cardinals and continuity of coordinate functionals of filter bases in Banach spaces
Tomasz Kania, Jarosław Swaczyna
Assuming the existence of certain large cardinal numbers, we prove that for every projective filter over the set of natural numbers, -bases in Banach spac…
Approximate modularity: Kalton's constant is not smaller than 3
Michal Gnacik, Marcin Guzik, Tomasz Kania
Kalton and Roberts [Trans. Amer. Math. Soc., 278 (1983), 803--816] proved that there exists a universal constant such that for every set algebra and…