Selected topics in convergence of measures on compact spaces
- Prelegent(ci)
- Damian Sobota
- Afiliacja
- Kurt Gödel Research Center, University of Vienna
- Termin
- 17 kwietnia 2019 16:15
- Pokój
- p. 5050
- Seminarium
- Seminarium „Topologia i teoria mnogości”
During my talk I'll present some most recent results of my
joint work with Lyubomyr Zdomskyy concerning different aspects of
convergence of sequences of Radon measures on compact spaces. Among
others, I'll present a (sketch of a) constructive and elementary proof
of the fact that the Banach space c_0 is always complemented in the
space C(K\times L) of continuous functions on the product of any two
infinite compact spaces K and L, as well as I'll show an example of a
family of compact spaces K such that the space C(K) has the
Grothendieck property for sequences of measures with countable
supports, i.e. elements of ell_1(K), but not for sequences of measures
with uncountable supports. If time allows, minimally generated Boolean
algebras will appear, too.