2 papers
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.FA2020
Large cardinals and continuity of coordinate functionals of filter bases in Banach spaces
Tomasz Kania, Jarosław Swaczyna
Assuming the existence of certain large cardinal numbers, we prove that for every projective filter over the set of natural numbers, -bases in Banach spac…