Research Paper | Mathematics | Turkey | Volume 8 Issue 9, September 2019
Convergence via Filter in Locally Solid Riesz Spaces
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
161 PDF Views | 119 PDF Downloads