Binary Linear Topological Spaces


Abstract views: 30 / PDF downloads: 27

Authors

  • Tresa Mary Chacko Department of Mathematics, Christian College, Chengannur, Kerala, India
  • D. Susha Department of Mathematics, Catholicate College, Pathanamthitta, Kerala, India

Keywords:

Linear Topological Spaces, Binary topology, locally convex, metrizable

Abstract

In this paper we define and study the concept of binary linear topological spaces (BLTS) and their properties. Here we prove that the binary product of two linear topological spaces is a BLTS. Also we have the main result that the binary product preserve metrizability and normability. Finally we construct a BLTS from a family of binary seminorms on a pair of vector spaces.

 

Author Biographies

Tresa Mary Chacko, Department of Mathematics, Christian College, Chengannur, Kerala, India

 

 

D. Susha, Department of Mathematics, Catholicate College, Pathanamthitta, Kerala, India

 

 

Downloads

Published

15-05-2018

How to Cite

Tresa Mary Chacko, & D. Susha. (2018). Binary Linear Topological Spaces. International Journal of Mathematics And Its Applications, 6(2 - A), 173–179. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/660

Issue

Vol. 6 No. 2 - A (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.