Search results for "equimeasurability"

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Compactness in Groups of Group-Valued Mappings

2022

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.

equimeasurabilitySettore MAT/05 - Analisi MatematicaGeneral Mathematicsuniform quasiboundednessComputer Science (miscellaneous)convergence (and local convergence) in measuremeasure of noncompactnessgroupgroup; pseudonorm; convergence (and local convergence) in measure; measure of noncompactness; equimeasurability; uniform quasiboundednesspseudonormEngineering (miscellaneous)Mathematics
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