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/