Simpliciality of vector-valued function spaces

Ondřej Kalenda (Charles U, Prague)

Mar 21. 2025, 10:00 — 10:20

Generalizations of the Choquet theory of integral representation to the setting of vector-valued function spaces goes back to 1980s. However, a satisfactory theory of uniqueness of representing measures which would be analogous to the scalar case is still missing. I will present recent joint results with Jiří Spurný in this direction. In particular, it turns out that there are two natural directions of possible generalization - we call them weak simpliciality and vector simpliciality. In general these two notions are incomparable, but for function spaces containing constants vector simpliciality is strictly stronger. I will focus on similarities and differences from the scalar theory.

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)