International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


Downloads: 153 | Views: 198

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


Convergence via Filter in Locally Solid Riesz Spaces

Abdullah Aydn


Abstract: 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


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