Ordered finite-dimensional vector spaces with a spectral theorem
Konstruktivnaya Teoriya Funktsii i Funktsional'nyi Analiz, Konstruktivnaya Teoriya Funktsii i Funktsional'nyi Analiz (1990), pp. 52-58.

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G. D. Lugovaya; A. N. Sherstnev. Ordered finite-dimensional vector spaces with a spectral theorem. Konstruktivnaya Teoriya Funktsii i Funktsional'nyi Analiz, Konstruktivnaya Teoriya Funktsii i Funktsional'nyi Analiz (1990), pp. 52-58. http://geodesic.mathdoc.fr/item/KUKTF_1990_a5/

[1] Abbati M., Manià A., “A spectral theory for order unit spaces”, Ann. Inst. H. Poincarě, 35:4 (1981), 259–285 | MR | Zbl

[2] Alfsen E., Shultz F., Non commutative spectral theory for affine functions spaces on convex sets, Mem. Amer. Math. Soc., 172, 1976 | MR | Zbl

[3] Vonnet P., “Une théorie spectrale dans certains espaces du type $A(K)$”, C.R. Acade Sci. Paris, 282, Ser. A (1976), 207–210