The Cesàro Operator on Some Sequence Spaces in Riesz Space of Non-Absolute Type

Authors

  • E. Herawati Department of Mathematics, Universitas Sumatera Utara, Medan, 20155, Indonesia
  • Supama Department of Mathematics, Universitas Gadjah Mada, Yogyakarta, 55281, Indonesia

DOI:

https://doi.org/10.32734/jormtt.v2i2.4748

Keywords:

Banach spaces, Bounded operator, Ideal, Regular operator, Riesz spaces

Abstract

The Cesàro operators gif.latex?C are investigated on the class gif.latex?E-valued sequence spaces gif.latex?c_0(E), gif.latex?c(E) and gif.latex?\ell_\infty(E) with gif.latex?E is a Riesz space. Besides, we also carry out that gif.latex?C are order bounded operators.

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Published

2020-10-10

How to Cite

[1]
E. Herawati and Supama, “The Cesàro Operator on Some Sequence Spaces in Riesz Space of Non-Absolute Type”, J. of Research in Math. Trends and Tech., vol. 2, no. 2, pp. 64-68, Oct. 2020.

Issue

Vol. 2 No. 2 (2020): Journal of Research in Mathematics Trends and Technology (JoRMTT)

Section

Articles

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