In this paper we give estimations of Istratescu measure of noncompactness I(X) of a set X C lp(E1,...,En) in terms of measures I(Xj) (j=1,...,n) of projections Xj of X on Ej. Also a converse problem of finding a set X for which the measure I(X) satisfies the estimations under consideration is considered.
@article{urn:eudml:doc:41981,
title = {Remarks on the Istratescu measure of noncompactness.},
journal = {Collectanea Mathematica},
volume = {44},
year = {1993},
pages = {91-103},
zbl = {0811.46012},
mrnumber = {MR1280728},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41981}
}
Dronka, Janusz. Remarks on the Istratescu measure of noncompactness.. Collectanea Mathematica, Tome 44 (1993) pp. 91-103. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41981/