International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
www.ijsr.net | Most Trusted Research Journal Since Year 2012

ISSN: 2319-7064

Research Paper | Mathematics | Turkey | Volume 8 Issue 9, September 2019

Convergence via Filter in Locally Solid Riesz Spaces

Abdullah Aydn

Let (E, I) be a locally solid vector lattice. A filter F on the set E is said to be convergent to a vector xaE if, each zero neighborhood set U containing x, U belongs to F. In this paper, we introduce the notion of filter convergence with respect to locally solid topology and study the concept of this convergence and give some basic properties of it.

Keywords: filter convergence, locally solid Riesz space

Edition: Volume 8 Issue 9, September 2019

Pages: 351 - 353


How to Cite this Article?

Abdullah Aydn, "Convergence via Filter in Locally Solid Riesz Spaces", International Journal of Science and Research (IJSR), https://www.ijsr.net/search_index_results_paperid.php?id=ART20201029, Volume 8 Issue 9, September 2019, 351 - 353

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