3 papers
math.FA2026
Borel complexity of isometry classes of spaces with countable compacta
Marek Cúth, Martin Doležal, OndÅej Kurka +1
For every countable compact space , we determine the exact Borel complexity of the isometry class of the Banach space . As a byproduct, we also determine the pre…
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
Complemented subspaces of Banach spaces
Grzegorz Plebanek, Jakub Rondoš, Damian Sobota
We prove that, for every compact spaces and compact group , if both and map continuously onto , then the Banach space contains a com…