Journal of Function Spaces (Jan 2019)

On the Essential Norm of Multiplications Operators Acting on Cesàro Sequence Spaces

  • Julio C. Ramos-Fernández,
  • María A. Rivera-Sarmiento,
  • Margot Salas-Brown

DOI
https://doi.org/10.1155/2019/5069610
Journal volume & issue
Vol. 2019

Abstract

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In this article, we establish an important property about the growth of sequences in the dual space of Cesàro sequence spaces. As a consequence of this fact, we calculate the measure of noncompactness or the essential norm of the multiplication operator Mu acting on Cesàro sequence spaces cesp.