On the spaces dual to combinatorial Banach spaces

Sebastian Jachimek (U of Wroclaw)

Mar 20. 2025, 11:15 — 11:35

During the talk I will present quasi-Banach spaces which are closely related to the duals of combinatorial Banach spaces. More precisely, for a compact family $\mathcal{F}$ of finite subsets of $\mathbb{N}$ we define a quasi-norm whose Banach envelope is the dual norm for the combinatorial space generated by $\mathcal{F}$. Such quasi-norms seem to be much easier to handle than the dual norms and yet the quasi-Banach spaces induced by them share many properties with the dual spaces.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
Structures in Banach Spaces (Workshop)
Organizer(s):
Antonio Aviles (U Murcia)
Vera Fischer (U of Vienna)
Grzegorz Plebanek (U of Wroclaw)
Damian Sobota (U of Vienna)