APPLICATIONS OF HAUSDORFF MEASURE OF NONCOMPACTNESS IN THE SPACES OF GENERALIZED MEANS

作者：Mursaleen M^*; Noman Abdullah K

来源：Mathematical Inequalities & Applications, 2013, 16(1): 207-220.

DOI：10.7153/mia-16-15

• BK space
• generalized means
• matrix transformation
• Hausdorff measure of noncompactness
• compact operator

In this paper, we derive some identities for the Hausdorff measures of noncompactness of certain matrix operators on the sequence spaces X(r,s) of generalized means. Further, we apply the Hausdorff measure of noncompactness to obtain the necessary and sufficient conditions for such operators to be compact.

• 出版日期2013-1