dr Jacek Gulgowski
Compactness in spaces of functions of bounded variation.
The study on existence of fixed points of transformations in Banach spaces often involves methods connected to the Schauder fixed point theorem or th the Leray-Schauder degree. Both approaches involve work with completely continuous mappings - it is good to understand the relations between 202424.png)
and 202424.png)
spaces. In particular we shall focus on certain connections between spaces, which lead to compact embedding theorems. We shall analyse complete continuity of some integral operators working between 202424.png)
spaces.