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pro vyhledávání: '"Fovelle, Audrey"'
Autor:
Baudier, Florent, Fovelle, Audrey
In this note, we introduce and study the notions of asymptotic B-convexity and asymptotic infratype $p$, and we prove asymptotic analogs of a series of results due to Giesy \cite{Giesy66} and Pisier \cite{Pisier74}. In particular, we give a simplifie
Externí odkaz:
http://arxiv.org/abs/2405.15910
Autor:
Fovelle, Audrey
We prove that if $Y$ is a locally asymptotically midpoint uniformly convex Banach space which has either a normalized, symmetric basic sequence that is not equivalent to the unit vector basis in $\ell_1$, or a normalized sequence with upper p-estimat
Externí odkaz:
http://arxiv.org/abs/2402.19067
Autor:
Fovelle, Audrey
We prove an optimal result of stability under $\ell_p$-sums of some concentration properties for Lipschitz maps defined on Hamming graphs into Banach spaces. As an application, we give examples of spaces with Szlenk index arbitrarily high that admit
Externí odkaz:
http://arxiv.org/abs/2311.15900
Autor:
Fovelle, Audrey
In this note, we study some concentration properties for Lipschitz maps defined on Hamming graphs, as well as their stability under sums of Banach spaces. As an application, we extend a result of Causey on the coarse Lipschitz structure of quasi-refl
Externí odkaz:
http://arxiv.org/abs/2106.04297