Twisted Hilbert spaces defined by bi-Lipschitz maps
Functional Analysis
2024-08-16 v1
Abstract
We obtain an infinite-dimensional cone of singular twisted Hilbert spaces which are isomorphic to their duals but not to their conjugate duals. We do that by showing that the subset of all bi-Lipschitz maps from to is coneable. We also provide a characterization of the Kalton-Peck space among all twisted Hilbert spaces of the form , which gives a partial answer to a conjecture of F. Cabello S\'anchez and J. Castillo.
Cite
@article{arxiv.2408.07827,
title = {Twisted Hilbert spaces defined by bi-Lipschitz maps},
author = {Willian Corrêa and Sheldon Dantas and Daniel L. Rodríguez-Vidanes},
journal= {arXiv preprint arXiv:2408.07827},
year = {2024}
}