Two-Order Convergence

A Riesz space or a vector lattice E is a partially ordered linear space that is also a lattice. Order convergence in a Riesz space will be defined and it will be shown that given a solid linear subspace X1 of a Riesz space X, a sequence {xn} is order convergent to x ϵ X1 if and only if the sequence...

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Bibliographic Details
Main Authors: Belida, Joseph T, Cabral, Emmanuel A
Format: text
Published: Archīum Ateneo 2024
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Online Access:https://archium.ateneo.edu/mathematics-faculty-pubs/296
https://doi.org/10.1063/5.0230789
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Institution: Ateneo De Manila University