Linear Ideals and Linear Grills in Topological
Vector Spaces

Tresa Mary Chacko; D. Susha

doi:https://doi.org/10.14445/22315373/IJMTT-V48P537

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 48 | Number 4 | Year 2017 | Article Id. IJMTT-V48P537 | DOI : https://doi.org/10.14445/22315373/IJMTT-V48P537

Linear Ideals and Linear Grills in Topological Vector Spaces

Tresa Mary Chacko, D. Susha

Abstract

In this paper we introduce the concepts of linear grills and linear ideals in topological vector spaces. We prove that the closure operators obtained from them are both Linear Čech closure operators under certain conditions. Also we introduce two new operators based on linear grills and linear ideals.

Keywords

Linear Čech closure spaces, semi open sets, linear grills, linear ideals.

References

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Citation :

Tresa Mary Chacko, D. Susha, "Linear Ideals and Linear Grills in Topological Vector Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 48, no. 4, pp. 245-249, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V48P537