Order convergence in infinite-dimensional vector lattices is not topological

2017/05/28 by Y. A. Dabboorasad, Dabboorasad, Y. A., Eduard Emelyanov +3
Mathematics · #46A16 #46A40 #46B30 #Advanced Banach Space Theory #Advanced Topics in Algebra #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1705.09883

openalex publication_date 2017/05/28 · openalex created_date 2017/06/05 · openalex updated_date 2026/07/28

Abstract

In this note, we show that the order convergence in a vector lattice X is not topological unless dim X

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