u tau-convergence in locally solid vector lattices

Date

2018-09-01

Author

Dabboorasad, Y. A.
Emelyanov, Eduard
Marabeh, M. A. A.

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Let be a net in a locally solid vector lattice ; we say that is unbounded -convergent to a vector if for all . In this paper, we study general properties of unbounded -convergence (shortly -convergence). -convergence generalizes unbounded norm convergence and unbounded absolute weak convergence in normed lattices that have been investigated recently. We introduce -topology and briefly study metrizability and completeness of this topology.

Subject Keywords

Theoretical Computer Science, Analysis, General Mathematics

URI

https://hdl.handle.net/11511/41488

Journal

POSITIVITY

DOI

https://doi.org/10.1007/s11117-018-0559-4

Collections

Department of Mathematics, Article

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Citation Formats

Y. A. Dabboorasad, E. Emelyanov, and M. A. A. Marabeh, “u tau-convergence in locally solid vector lattices,” POSITIVITY, pp. 1065–1080, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41488.