Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (1)

Search Parameters:
Keywords = uniform quasiboundedness

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
11 pages, 311 KB  
Article
Compactness in Groups of Group-Valued Mappings
by Diana Caponetti, Alessandro Trombetta and Giulio Trombetta
Mathematics 2022, 10(21), 3973; https://doi.org/10.3390/math10213973 - 26 Oct 2022
Viewed by 1323
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 [...] Read more.
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 Fréchet–Šmulian and Ascoli–Arzelà compactness criteria found in the literature. Full article
(This article belongs to the Special Issue Advances on Nonlinear Functional Analysis)
Back to TopTop