Lebesgue- and Radon--Nikodym type theorems
Date:
Tuesday, November 21, 2017 16:00 - 18:00
Speaker:
Tamás Titkos (Alfréd Rényi Institute of Mathematics)
Location:
Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series:
Mathematics and CS Seminar
Host:
Laszlo Erdös
Contact:
DE ANTONI Jessica
The Lebesgue decomposition theorem and the Radon-Nikodym theorem are cornerstones of the classical measure theory. These theorems were generalized in several settings and several ways. In the first part of the talk I will give a short overwiev of this topic. In the remaining time I will present a Lebesgue-Radon-Nikodym type theorem which generalizes the well-known Ando-decomposition of bounded positive operators, the Darst decomposition of finitely additive nonnegative set functions, and Gudder's Radon-Nikodym theorem for representable functionals.