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References
E.M. ALFSEN, ‘On the decomposition of a Choquet simplex into a direct convex sum of complementary faces', Math. Scand. 17 (1965) 169–176.
E.M. ALFSEN, ‘Facial structure of compact convex sets', Proc. London Math. Soc. 18 (1968) 385–404.
E.M. ALFSEN, ‘Compact convex sets and boundary integrals', Springer-Verlag, Berlin, 1971.
E.M. ALFSEN and T.B. ANDERSEN, ‘Split faces of compact convex sets', Proc. London Math. Soc. 21 (1970) 415–442.
E.M. ALFSEN and E.G. EFFROS, ‘Structure in real Banach spaces I, II', Ann. Math. 96 (1972) 98–173.
T.B. ANDERSEN, ‘On dominated extensions of continuous affine functions on split faces', Math. Scand. 29 (1971) 298–306.
L. ASIMOW and A.J. ELLIS, ‘Facial decomposition of linearly compact simplexes and separation of functions on cones', Pac. J. Math. 34 (1970) 301–310.
CHU CHO-HO, ‘Anti-lattices and prime sets', Math. Scand. 31 (1972) 151–165.
CHU CHO-HO, ‘Prime faces in C-algebras', J. London Math. Soc. (to appear).
D.A. EDWARDS, ‘On the homeomorphic affine embedding of a locally compact cone into a Banach dual space endowed with the vague topology', Proc. London Math. Soc. 14 (1964) 399–414.
E.G. EFFROS, ‘Structure in simplexes', Acta Math. 117 (1967) 103–121.
A.J. ELLIS, ‘Perfect order ideals', J. London Math. Soc. 40 (1965) 288–294.
A.J. ELLIS, ‘On faces of compact convex sets and their annihilators', Math. Ann. 184 (1969) 19–24.
A.J. ELLIS, ‘On split faces and function algebras', Math. Ann. 195 (1972) 159–166.
B. HIRSBERG, ‘IM-ideals in complex function spaces and algebras', Israel J. Math. 12 (1972) 133–146.
GRAHAM JAMESON, lsOrdered linear spaces', Lecture Notes in Mathematics, No.141, Springer-Verlag, Berlin, 1970.
R.J. NAGEL, ‘Ideals in ordered locally convex spaces', Math. Scand. 29 (1971) 259–2710
E. STØRMER, ‘On partially ordered vector spacers and their duals with applications to simplexes and C-algebras', Proc. London Math. Soc. 18 (1968) 245–265.
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Ellis, A.J. (1974). Order ideals in ordered Banach spaces. In: Hartkämper, A., Neumann, H. (eds) Foundations of Quantum Mechanics and Ordered Linear Spaces. Lecture Notes in Physics, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-06725-6_8
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DOI: https://doi.org/10.1007/3-540-06725-6_8
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