Open AccessMeasure of noncompactness for compact matrix operators on some BK spaces
Author(s) -
Abdullah Alotaibi,
Eberhard Malkowsky,
M. Mursaleen
Publication year - 2014
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1405081a
Subject(s) - mathematics , hausdorff measure , measure (data warehouse) , matrix (chemical analysis) , bounded function , pure mathematics , hausdorff space , mathematical analysis , composite material , hausdorff dimension , materials science , database , computer science
In this paper, we characterize the matrix classes (?1, ??p )(1? p < 1). We also obtain estimates for the norms of the bounded linear operators LA defined by these matrix transformations and find conditions to obtain the corresponding subclasses of compact matrix operators by using the Hausdorff measure of noncompactness.