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.
Caponetti, D., Trombetta, A., Trombetta, G. (2022). Compactness in Groups of Group-Valued Mappings. MATHEMATICS, 10(21), 1-11 [10.3390/math10213973].
Compactness in Groups of Group-Valued Mappings
Caponetti, D
;
2022-10-26
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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
mathematics-10-03973.pdf
accesso aperto
Tipologia:
Versione Editoriale
Dimensione
311.07 kB
Formato
Adobe PDF
|
311.07 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
