collaborators

5 papers

math.FA2026

A small Banach space without nice renormings

Todor Manev, Damian Sobota, Lyubomyr Zdomskyy

We prove that consistently and there exists a compact space whose Banach space of continuous real-valued functions is Grothendieck, has density $ω_1…

math.FA2026

A small remark on small-dimensional normed barrelled spaces

Damian Sobota

Combining the methods of Brian and Stuart with the classical Dvoretzky theorem, we show that no infinite-dimensional Banach space contains a barrelled subspace of (algebraic) dimen…

math.LO2026

The Nikodym and Grothendieck properties of Boolean algebras and rings related to ideals

Damian Sobota, Tomasz Żuchowski

For an ideal in a -complete Boolean algebra , we show that if the Boolean algebra generated by d…

math.FA2026

Complementability of separable spaces in Banach spaces

Jakub Rondoš, Damian Sobota

For a metric compact space and a Banach space , we provide a characterization of the complementability of the Banach space of continuous functions on in…

math.FA2024

Continuous operators from spaces of Lipschitz functions

Christian Bargetz, Jerzy KÄ kol, Damian Sobota

We study the existence of continuous (linear) operators from the Banach spaces $\mbox{Lip}_0(M)$ of Lipschitz functions on infinite metric spaces vanishing at a distinguished p…