no. 4
Monotone convergence in partially ordered vector spaces
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 12 (1970) no. 4, pp. 323-328. 
@article{AIHPA_1970__12_4_323_0,
     author = {Edwards, C. M. and Gerzon, M. A.},
     title = {Monotone convergence in partially ordered vector spaces},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {323--328},
     publisher = {Gauthier-Villars},
     volume = {12},
     number = {4},
     year = {1970},
     mrnumber = {268644},
     zbl = {0197.38201},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1970__12_4_323_0/}
}
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Edwards, C. M.; Gerzon, M. A. Monotone convergence in partially ordered vector spaces. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 12 (1970) no. 4, pp. 323-328. http://www.numdam.org/item/AIHPA_1970__12_4_323_0/

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[2] A.J. Ellis, The duality of partially ordered normed vector spaces, J. London Math. Soc., t. 39, 1964, p. 730-744. | MR | Zbl

[3] A.J. Ellis, Linear operators in partially ordered normed vector spaces, J. London Math. Soc., t. 41, 1966, p. 323-332. | MR | Zbl

[4] M.A. Gerzon, Convex sets with infinite convex combinations (under preparation).

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[6] G.W. Mackey, Mathematical foundations of quantum mechanics, New York, Benjamin, 1963. | Zbl