Abstract
We show that unitary and complete $l. m. c. a. $'s endowed with certain orders are actually locally $C^*$-algebras's or even reduce to the complex field.
Citation
A. El Kinani. M. A. Nejjari. M. Oudadess. "Complete $M$-convex algebras whose positive elements are totally ordered." Funct. Approx. Comment. Math. 29 99 - 102, 2001. https://doi.org/10.7169/facm/1538186720
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