Some relationships between the Kuratowski's measure of noncompactness, the ball measure of noncompactness and the δ-separation of the points of a set are studied in special classes of Banach spaces. These relations are applied to compare operators which are contractive for these measures.
@article{urn:eudml:doc:39870,
title = {Connections between some measures of non-compactness and associated operators.},
journal = {Extracta Mathematicae},
volume = {5},
year = {1990},
pages = {62-64},
zbl = {1232.47042},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39870}
}
Ayerbe Toledano, José M.; Domínguez Benavides, Tomás; López Acedo, Genaro. Connections between some measures of non-compactness and associated operators.. Extracta Mathematicae, Tome 5 (1990) pp. 62-64. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39870/