M-spaces with quasi-interior points
Glasgow mathematical journal, Tome 23 (1982) no. 2, pp. 131-135

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In this paper we characterize those locally convex lattices which can be represented as dense sublatices containing 1 in a space C(X) and whose topologies can be recognized as topologies of uniform convergence on selections of compact subsets of X. Here C(X) is the lattice of continuous real-valued functions on a completely regular space X. The class of such locally convex lattices includes the classical order unit spaces investigated by Kakutani [3], arbitrary products of order unit spaces, for example ∏ L∞ and the order partition spaces studied in [1].
Feldman, W. A.; Porter, J. F. M-spaces with quasi-interior points. Glasgow mathematical journal, Tome 23 (1982) no. 2, pp. 131-135. doi: 10.1017/S0017089500004900
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