2 papers
math.FA2024
Small-dimensional normed barrelled spaces
Will Brian, Christopher Stuart
We prove that every separable Banach space has a barrelled subspace with algebraic dimension , which denotes the smallest cardinality of a non-meager subs…
math.FA2024
A Gliding Hump Characterization of Normed Barrelled Spaces
Christopher E. Stuart
In this paper, a characterization of normed barrelled spaces is given, as well as a similar characterization of rings of sets with the Nikodym Property. Finally, a condition that i…