Author

T. Kania

2 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Open access Sep 2026

Grothendieck and ℓ∞‐Grothendieck Subspaces of ℓ∞

Let . We prove that contains pairwise non‐isomorphic non‐reflexive Grothendieck subspaces. They may all be chosen to contain the canonical copy of and to have an infinite‐dimensional reflexive quotient. This is optimal and answers Problem 24 of González and Kania [ Japanese Journal of Mathematics 16 (2021), 247–3...

Manuel González, T. Kania · Mathematische Nachrichten · 0 citations

Preprint Aug 2026

Pointwise function spaces over compacta are not weak Banach spaces

Let $K$ be a compact Hausdorff space and let $E$ be an infinite-dimensional real Banach space. We prove that there is no continuous bijection $h\colon C_p(K)\to E_w$ whose inverse is continuous at $h(0)$. Consequently, $C_p(K)$ and $C_w(L)$ are not homeomorphic for any infinite compact Hausdorff spaces $K$ and $L$. Thi...

T. Kania, J. Ka̧kol · 0 citations