Journal article

Publication year: 2013

Pages: 447-457

Journal: Filomat

Volume number: 27

Issue number: 3

ISSN: 0354-5180

Open access status: Bronze

DOI Link: https://doi.org/10.2298/FIL1303447M

Publisher: University of Nis

Abstract: 
We give a survey of the known results concerning the sets c(0)(Lambda), c(Lambda) and c(infinity)(Lambda) including their basic topological properties, their first and second dual spaces, and the characterizations of matrix transformations from them into the spaces l(infinity), c and c(0). Furthermore, we establish some new results such as the representations of the general bounded linear operators from c(Lambda) into the spaces l(infinity), c and c(0), and estimates for their Hausdorff measures of noncompactness. Finally, we apply our results to characterize some classes of compact operators on c(0)(Lambda), c(Lambda) and c(infinity)(Lambda). We also generalize a classical result by Cohen and Dunford which states that a regular matrix operator cannot be compact.

Harvard Citation style: Malkowsky, E. (2013) Characterization of compact operators between certain BK spaces, Filomat, 27(3), pp. 447-457. https://doi.org/10.2298/FIL1303447M

APA Citation style: Malkowsky, E. (2013). Characterization of compact operators between certain BK spaces. Filomat. 27(3), 447-457. https://doi.org/10.2298/FIL1303447M