On $\mathcal{I_{\tau}^{\mathcal{K}}}$-convergence of nets in locally solid Riesz spaces

Authors

  • Pratulananda Das Department of Mathematics, Jadavpur University, Kolkata - 700032, West Bengal, India Author
  • Ekrem Savaş Department of Mathematics, Istanbul Ticaret University, Üsküdar-Istanbul, Turkey Author

Keywords:

Ideal, filter, nets, $\mathcal{I_{\tau}}$-convergence, $\mathcal{I_{\tau}^{\mathcal{K}}}$-convergence, $\mathcal{I_{\tau}^{\mathcal{K}}}$-boundedness, $\mathcal{I}_{\tau}^{\mathcal{K}}$-Cauchy, locally solid Riesz space

Subjects:

40G15, 40A35

Abstract

In this short note we continue our investigationof nets in locally solid Riesz spaces from [P. Das, E. Savas, {On$\mathcal I$-convergence of nets in locally solid Riesz spaces}, Filomat,27 (1) (2013), 84–89] and introduce the idea of $\Cal{I}_{\tau}^{\Cal{K}}$-convergence of nets which is more general than$\Cal{I}_{\tau}^*$-convergence and obtain some of its basic properties.

Downloads

Published

2016-04-15

Issue

Vol. 68 No. 2 (2016): Vol. 68, Issue 2

Section

Articles

License

Copyright (c) 2016 Authors retain copyright to their work.

Creative Commons License

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