An old problem of Joram Lindenstrauss

Jose Orihuela (U Murcia)

Mar 19. 2025, 12:15 — 12:35

The following is a problem posed by  Lindenstrauss: "It is easily verified that every separable Banach space has an strictly convex norm. The same is true for a general WCG space. On the other hand, it was shown by Day that there exist Banach spaces which do not have an equivalent strictly convex norm. Some conjectures concerning a possible answer to the question were shown to be false by Dashiell and Lindenstrauss. This results shows that even for C(K) spaces it seems to be a delicate and presumably difficult question to decide under which condition there exists an equivalent strictly convex norm." We shall present a new complete answer to this question.

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)