Measure of noncompactness of operators and matrices on the spacescandc0
نویسندگان
چکیده
منابع مشابه
Measure of noncompactness of operators and matrices on the spaces c and c0
whenever the series are convergent for all n≥ 1. For any given subsets X , Y of s, we will say that the operator represented by the infinite matrix A = (anm)n,m≥1 maps X into Y that is A∈ (X ,Y), if (i) the series defined by An(x)= ∑∞ m=1 anmxm are convergent for all n≥ 1 and for all x ∈ X ; (ii) Ax ∈ Y for all x ∈ X . If c ⊂ cA = {x : Ax ∈ c},A is conservative. Well-known necessary and suffici...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2006
ISSN: 0161-1712,1687-0425
DOI: 10.1155/ijmms/2006/46930