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.uken.krakow.pl/article/view/9488

Issue

Vol. 21 (2022)

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