Abstract
The possibility of characterizing the Mackey topology of a dual pair of vector spaces as a generalized inductive limit (or mixed) topology is investigated. Positive answers are given for a wide range of dual pairs of Riesz spaces (vector lattices) and non-commutative Banach function spaces (or symmetric operator spaces).
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Conradie, J. Mackey Topologies and Mixed Topologies in Riesz Spaces. Positivity 10, 591–606 (2006). https://doi.org/10.1007/s11117-005-0036-8
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DOI: https://doi.org/10.1007/s11117-005-0036-8