On asymptotic B-convexity and infratype
Functional Analysis
2024-05-28 v1
Abstract
In this note, we introduce and study the notions of asymptotic B-convexity and asymptotic infratype , and we prove asymptotic analogs of a series of results due to Giesy \cite{Giesy66} and Pisier \cite{Pisier74}. In particular, we give a simplified proof of an asymptotic version of Pisier's -theorem that was originally proven by Causey, Draga, and Kochanek in \cite{CDK19}. We also briefly discuss the notion of asymptotic stable type.
Keywords
Cite
@article{arxiv.2405.15910,
title = {On asymptotic B-convexity and infratype},
author = {Florent Baudier and Audrey Fovelle},
journal= {arXiv preprint arXiv:2405.15910},
year = {2024}
}