Compact Operators for Almost Conservative and Strongly Conservative Matrices. (24th March 2014)

• Record Type: Journal Article
• Authors: Mohiuddine, S. A.; Mursaleen, M.; Alotaibi, A.
• Other Names: Kilicman Adem Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-03-24
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/567317
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We obtain the necessary and sufficient conditions for an almost conservative matrix to define a compact operator. We also establish some necessary and sufficient (or only sufficient) conditions for operators to be compact for matrix classes ( f, X ), where X = c, c 0, l ∞ . These results are achieved by applying the Hausdorff measure of noncompactness.