| On $\mathcal{I_{\tau}^{\mathcal{K}}}$-convergence of nets in locally solid Riesz spaces |
| Pratulananda Das and Ekrem Savaş |
Abstract In this short note we continue our investigation of 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.
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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 |
MSC: 40G15, 40A35 |
Pages: 93$-$99 |
Volume 68 , Issue 2 , 2016 |
