On Fatou Topologies of Inextensible Riesz Spaces

Authors

  • Nabonarayan Jha Department of Mathematics, Patan Multiple Campus, Lalitpur, TU
  • Jaynarayan Jha Department of Mathematics, Padma Kanya Multiple Campus, Kathmandu, TU

DOI:

https://doi.org/10.3126/tuj.v35i2.36184

Keywords:

Fatou, inextensible, riesz spaces, pseudo-norm, maharam measure space, archimedean spaces

Abstract

In this paper we shall discuss the general properties of Fatou topologies on Inextensible Riesz Spaces. We find that on a given inextensible Riesz Spaces, there may be no non-trival Fatou topologies but if it has any Hausdorff Fatou topology, it has only one and this has several special properties.

Downloads

Download data is not yet available.
Abstract
184
pdf
278

Downloads

Published

2020-12-31

How to Cite

Jha, N., & Jha, J. (2020). On Fatou Topologies of Inextensible Riesz Spaces. Tribhuvan University Journal, 35(2), 12–21. https://doi.org/10.3126/tuj.v35i2.36184

Issue

Vol. 35 No. 2 (2020)

Section

Articles

License

This license enables reusers to distribute, remix, adapt, and build upon the material in any medium or format for noncommercial purposes only, and only so long as attribution is given to the creator.

© Center for Research, Tribhuvan University