The notion of a measure of noncompactness turns out to be a very important and useful tool in many branches of mathematical analysis. The current state of this theory and its applications are presented in the books [1,4,11] for example.
The notion of a measure of weak noncompactness was introduced by De Blasi [8] and was subsequently used in numerous branches of functional analysis and the theory of differential and integral equations (cf. [2,3,9,10,11], for instance).
In this note we summarize our papers [5,6]. We study measures of noncompactness and measures of weak noncompactness in some Banach sequence spaces.
@article{urn:eudml:doc:39878,
title = {Note on measures of noncompactness in Banach sequence spaces.},
journal = {Extracta Mathematicae},
volume = {5},
year = {1990},
pages = {83-85},
zbl = {1231.46011},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39878}
}
Banas, Jozef; Martinón, Antonio. Note on measures of noncompactness in Banach sequence spaces.. Extracta Mathematicae, Tome 5 (1990) pp. 83-85. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39878/