References
Berberian, S.K.: Notes on spectral theory. Princeton: Van Nostrand 1966
Bourbaki, N.: Integration. Chaps. I–VI. Actual. Sci. Ind. 1175, 1244, 1281. Paris: Hermann 1952, 1956, 1959
Cattaneo, U.: On Mackey's imprimitivity theorem. Comment. Math. Helv.54, 629–641 (1979)
Davies, E.B., Lewis, J.T.: An operational approach to quantum probability. Commun. Math. Phys.17, 239–260 (1970)
Davies, E.B.: On the repeated measurement of continuous observables in quantum mechanics. J. Funct. Anal.6, 318–346 (1970)
Dinculeanu, N.: Vector measures. New York: Pergamon Press 1967
Edwards, C.M.: The operational approach to algebraic quantum theory 1. Commun. Math. Phys.16, 207–230 (1970)
Edwards, C.M.: Classes of operations in quantum theory. Commun. Math. Phys.20, 26–56 (1971)
Halmos, P.: Introduction to Hilbert space and the theory of spectral multiplicity. New York: Chelsea 1957
Hartkamper, A., Neumann, H. (ed.): Foundations of quantum mechanics and ordered linear spaces. (Lect. Notes in Phys., vol. 29). Berlin Heidelberg New York: Springer 1974
Hewitt, E., Ross, K.A.: Abstract harmonic analysis, I. Berlin Heidelberg New York: Springer 1963
Kappos, D.A.: Probability algebras and stochastic spaces. New York London: Academic Press 1969
Namioka, I.: Partially ordered linear topological spaces. Mem. Am. Math. Soc.24 (1957)
Pavlakos, P.K.: On integration in partially ordered groups. Can. J. Math.35, 353–372 (1983)
Pavlakos, P.K.: Integral representation theorems in partially ordered vector spaces. Preprint
Peressini, A.: Ordered topological vector spaces. New York London: Harper and Row 1967
Schaefer, H.H.: Topological vector spaces. New York: Macmillan 1966
Stromberg, K.: A note on the convolution of regular measures. Math. Scand.7 347–352 (1959)
Vulikh, B.Z.: Introduction to the theory of partially ordered spaces. Moskow: Fizmatgiz, 1961. Engl. transl., Groningen: Noordhoff 1967
Wright, J.D.M.: Stone-algebra-valued measures and integrals. Proc. Lond. Math. Soc.19, 107–122 (1969)
Wright, J.D.M.: Vector-lattice measures on locally compact spaces. Math. Z.120, 193–203 (1971)
Wright, J.D.M.: Measures with values in a partially ordered vector space. Proc. Lond. Math. Soc.25, 655–688 (1972)
Wright, J.D.M.: Products of positive vector measures. Q. J. Math.24 (2), 189–206 (1973)
Wright, J.D.M.: Embeddings, in vector lattices. J. Lond. Math. Soc.8 (2), 699–706 (1974)
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Pavlakos, P.K. Convolutions and products of partially ordered vector-valued positive measures. Math. Ann. 287, 335–341 (1990). https://doi.org/10.1007/BF01446897
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DOI: https://doi.org/10.1007/BF01446897