Compactness in Groups of Group-Valued Mappings
- Authors: Caponetti, D; Trombetta, A; Trombetta, G
- Publication year: 2022
- Type: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/583341
Abstract
We introduce the concepts of extended equimeasurability and extended uniform quasiboundedness in groups of group-valued mappings endowed with a topology that generalizes the topology of convergence in measure. Quantitative characteristics modeled on these concepts allow us to estimate the Hausdorff measure of noncompactness in such a contest. Our results extend and encompass some generalizations of Frechet-Smulian and Ascoli-Arzela compactness criteria found in the literature.