G. Plebanek

activity

20102026

most citedChain conditions in free Banach lattices

12 citations · 22 across the 21 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.FA2021

The complemented subspace problem for $C (K)$ -spaces: A counterexample

Grzegorz Plebanek, Alberto Salguero Alarcón

We prove that there is a compact space $L$ and a 1-complemented subspace of the Banach space $C (L)$ which is not isomorphic to a space of continuous functions.

math.GN2021

Digging into the classes of $κ$ -Corson compact spaces

Witold Marciszewski, Grzegorz Plebanek, Krzysztof Zakrzewski

For any cardinal number $κ$ and an index set $Γ$ , $Σ_{κ}$ -product of real lines consists of elements of $R^{Γ}$ having $< κ$ nonzero coordinates. A compact space $K$ is $κ$ -Co…

math.FA2021

Abundance of independent sequences in compact spaces and Boolean algebras

Antonio Avilés, Gonzalo Martínez-Cervantes, Grzegorz Plebanek

It follows from a theorem of Rosenthal that a compact space is $ccc$ if and only if every Eberlein continuous image is metrizable. Motivated by this result, for a class of compact…

The complemented subspace problem for C(K)-spaces: A counterexample

Digging into the classes of κ-Corson compact spaces

Abundance of independent sequences in compact spaces and Boolean algebras

The complemented subspace problem for $C (K)$ -spaces: A counterexample

Digging into the classes of $κ$ -Corson compact spaces