Tomasz Kania

activity

20112026

most citedUniqueness of the maximal ideal of the Banach algebra of bounded operators on

C ([0, ω_{1}])

18 citations · 135 across the 55 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.FA2022★ 1 cited

The existence of UFO implies projectively universal morphisms

Marek Balcerzak, Tomasz Kania

Let $C$ be a concrete category. We prove that if $C$ admits a universally free object $F$ , then there is a projectively universal morphism $u\colon \math…

math.FA2022

Continuity of coordinate functionals of filter bases in Banach spaces

Noé de Rancourt, Tomasz Kania, Jarosław Swaczyna

We prove that the coordinate functionals associated with filter bases in Banach spaces are continuous as long as the underlying filter is analytic. This removes the large-cardinal…

math.FA2022

A forgotten theorem of Pełczyński: $(λ +)$ -injective spaces need not be $λ$ -injective -- the case $λ \in (1, 2]$

Tomasz Kania, Grzegorz Lewicki

Isbell and Semadeni [Trans. Amer. Math. Soc. 107 (1963)] proved that every infinite-dimensional $1$ -injective Banach space contains a hyperplane that is $(2 + ε)$ -injective…

The existence of UFO implies projectively universal morphisms

Continuity of coordinate functionals of filter bases in Banach spaces

A forgotten theorem of Pełczyński: (λ+)-injective spaces need not be λ-injective -- the case λ∈(1,2]

A forgotten theorem of Pełczyński: $(λ +)$ -injective spaces need not be $λ$ -injective -- the case $λ \in (1, 2]$