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math.FA2020★ 3 cited
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…
math.FA2020★ 2 cited
Local Banach-space dichotomies and ergodic spaces
W. Cuellar Carrera, N. de Rancourt, V. Ferenczi
We prove a local version of Gowers' Ramsey-type theorem [Ann. Math. 156 (2002)], as well as local versions both of the Banach space first dichotomy (the "unconditional/HI" dichotom…