| Abstrakt: |
In the present paper, by estimating operator norms, we give some characterizations of infinite matrix classes (∣ ∣ E r μ ∣ ∣ q, Λ) and (∣ ∣ E r μ ∣ ∣ ∞, Λ), where the absolute spaces ∣ ∣ E r μ ∣ ∣ q, ∣ ∣ E r μ ∣ ∣ ∞ have been recently studied by G\"{o}k\c{c}e and Sar{\i }g\"{o}l/cite{GS2019c} and Λ is one of the well-known spaces c 0, c, l ∞, l q (q ≥ 1). Also, we obtain necessary and sufficient conditions for each matrix in these classes to be compact establishing their identities or estimates for the Hausdorff measures of noncompactness. [ABSTRACT FROM AUTHOR] |
