Tomasz Kania

most citedVector-valued invariant means revisited once again

12 citations · 13 across the 3 of their papers we have counts for

collaborators

3 papers

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

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…

math.FA2016★ 12 cited

Vector-valued invariant means revisited once again

Tomasz Kania

Banach spaces that are complemented in the second dual are characterised precisely as those spaces $X$ which enjoy the property that for every amenable semigroup $S$ there exists a…

The existence of UFO implies projectively universal morphisms

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

Vector-valued invariant means revisited once again

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