Characterization of the duals of lattices of continuous functions with respect to disjointness preserving groups

Biyanov, Andrey

doi:10.1090/S0002-9939-97-03064-5

Characterization of the duals of lattices of continuous functions with respect to disjointness preserving groups
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by Andrey Y. Biyanov

Proc. Amer. Math. Soc. 125 (1997), 2571-2579

DOI: https://doi.org/10.1090/S0002-9939-97-03064-5

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Abstract:

The duals of $C_{0}(a, b)$ and $C[a, b]$ with respect to disjointness preserving groups are characterized. A. Plessner’s result (1929) about the translation group is extended. A Wiener-Young type theorem for disjointness preserving groups is obtained.

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