Free objects in p-Banach lattices

Alberto Salguero-Alarcón (Complutense U of Madrid)

Mar 21. 2025, 11:50 — 12:10

There is quite a tradition in the study of free objects in functional analysis. In particular, free Banach lattices have found quite a number of interesting applications transferring properties of Banach spaces to properties of Banach lattices. In this talk, we address the existence of such objects in the realm of p-Banach spaces, where $0<p<1$, and we apply their properties to produce some examples of projective p-Banach lattices. This is an ongoing work with Pedro Tradacete (ICMAT) and Nazaret Trejo (UCM). 

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
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)