Hypercompletions of Riesz spaces

Filter, Wolfgang

doi:10.1090/S0002-9939-1990-1021210-2

Hypercompletions of Riesz spaces
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by Wolfgang Filter PDF

Proc. Amer. Math. Soc. 109 (1990), 775-780 Request permission

Abstract:

It is shown that each Riesz space with separating order continuous dual can be embedded in a unique " $e$-hypercompletion," where $e$ is a fixed weak unit of the extended order continuous dual.

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A special class of vector lattices and its application to hypercomplete spaces