3 papers
math.FA2023
Tight-minimal dichotomies in Banach spaces
Alejandra C. Cáceres-Rigo, Valentin Ferenczi
We extend the methods used by V. Ferenczi and Ch. Rosendal to obtain the `third dichotomy' in the program of classification of Banach spaces up to subspaces, in order to prove that…
math.FA2020
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…
math.FA2019
Amalgamation and Ramsey properties of spaces
V. Ferenczi, J. Lopez-Abad, B. Mbombo +1
We study the dynamics of the group of isometries of -spaces. In particular, we study the canonical actions of these groups on the space of -isometric embeddings of finite d…