Applications of Measure of Noncompactness in Matrix Operators on Some Sequence Spaces. (13th March 2012)

• Record Type: Journal Article
• Authors: Mursaleen, M.; Latif, A.
• Other Names: Eloe Paul Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-03-13
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/378250
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We determine the conditions for some matrix transformations from n ( ϕ ), where the sequence space n ( ϕ ), which is related to the ℓ p spaces, was introduced by Sargent (1960). We also obtain estimates for the norms of the bounded linear operators defined by these matrix transformations and find conditions to obtain the corresponding subclasses of compact matrix operators by using the Hausdorff measure of noncompactness.