In this work, we characterize the class of compact matrix operators from c0(Q), c(Q) and ℓ∞ (Q) into c0, c and ℓ∞, respectively, with the notion of the Hausdorff measure of noncompactness. Moreover, we determine some geometric properties of the sequence space ℓp(Q).
© 2022 Mustafa Cemil Bişgin, Abdulcabbar Sönmez, published by Pedagogical University of Cracow
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