Compactness of quadruple band matrix operator and geometric properties

Authors

  • Mustafa Cemil Bişgin Recep Tayyip Erdogan University, Mathematics
  • Abdulcabbar Sönmez Erciyes University, Department of Mathematics

Keywords:

matrix transformations, matrix domain, compact operators, Hausdorff measure of noncompactness, matrix classes

Abstract

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).

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Published

2022-08-29

How to Cite

Bişgin, M. C., & Sönmez, A. (2022). Compactness of quadruple band matrix operator and geometric properties. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 21, 17–32. Retrieved from https://studmath.up.krakow.pl/article/view/9488

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