Abstract
For any locally convex Riesz space (X, X +, P), it is well-known that its strong dual (X′, X′+,’(X′,X)), equipped with the dual cone X′+,is a Dedekind complete locally convex Riesz space, so that its bidual (X″,X″ +) is a Dedekind complete Riesz space. It is also clear that (X, X +) can be embedded as a Riesz subspace of (X“,X“ +) under the evaluation map.
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Wong, Yc. (1996). Embedding Properties of Locally Convex Riesz Spaces. In: Li, B., Wang, S., Yan, S., Yang, CC. (eds) Functional Analysis in China. Mathematics and Its Applications, vol 356. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0185-8_15
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DOI: https://doi.org/10.1007/978-94-009-0185-8_15
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