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Literature Cited
L. Schwartz, Radon Measures on Arbitrary Topological Spaces and Cylindrical Measures, Oxford University Press, London (1973).
J. D. M. Wright, “Stone-algebra-valued measures and integrals,” Proc. London Math. Soc.,19, Pt. 1, 107–122 (1969).
J. D. M. Wright, “The measure extension problem for vector lattices,” Ann. Inst. Fourier Grenoble,21, No. 4, 65–85 (1971).
J. D. M. Wright, “An algebraic characterization of vector lattices with the Borel regularity property,” J. London Math. Soc.,7, No. 2, 277–285 (1973).
T. V. Panchapagesan and S. V. Palled, “On vector lattice-valued measures. I,” Math. Slovaca,33, No. 3, 269–292 (1983).
T. V. Panchapagesan and S. V. Palled, “On vector lattice-valued measures. II,” J. Austral. Math. Soc.,40, Pt. 2, 234–252 (1986).
S. S. Khurana, “Lattice-valued Borel measures,” Rocky Mountain J. Math.,6, No. 2, 377–382 (1976).
S. S. Khurana, “Lattice-valued Borel measures,” Trans. Am. Math. Soc.,235, 205–211 (1978).
P. K. Pavlakos, “On integration in partially ordered groups,” Can. J. Math.,35, No. 2, 353–372 (1983).
V. I. Sobolev and V. M. Shcherbin, Integration of Mappings of Semi-Ordered Rings [in Russian], Voronezh State Univ., Voronezh (1988) (dep. VINITI June 3, 1988, No. 4418-V88).
L. V. Kantorovich, B. Z. Vulikh, and A. G. Pinsker, Functional Analysis in Semi-Ordered Spaces [in Russian], Gostekhizdat, Moscow-Leningrad (1950).
B. Z. Vulikh, Introduction to the Theory of Semi-Ordered Spaces [in Russian], Fizmatgiz, Moscow (1961).
Z. Lipecki, “Riesz type representation theorems for positive operators,” Math. Nachr.,131, 351–356 (1987).
A. G. Kusraev and S. A. Malyugin, “The product and projective limit of vector measures,” in: Sovr. Probl. Geom. Analiza, Tr. IM SO AN SSSR, Vol. 14 [in Russian], Nauka, Novosibirsk (1989), pp. 132–152.
A. G. Kusraev and V. Z. Strizhevskii, “Lattice-valued spaces and majorant operators,” in: Issled. Geom. Matem. Analiza, Tr. IM SO AN SSSR, Vol. 7 [in Russian], Nauka, Novosibirsk (1987), pp. 132–157.
A. G. Kusraev, Vector Duality and Its Applications [in Russian], Nauka, Novosibirsk (1985).
F. Hausdorff, Set Theory [Russian translation], ONTI, Moscow-Leningrad (1937).
A. Horn and A. Tarski, “Measures in Boolean algebras,” Trans. Am. Math. Soc.,64, No. 3, 467–497 (1948).
J. Los and E. Marczewski, “Extensions of measure,” Fund. Math.,36, 267–276 (1949).
B. Riecan, “A simplified proof of the Daniell integral extension theorem,” Math. Slovaca,32, No. 1, 75–79 (1982).
D. M. Fremlin, “A direct proof of the Matthes-Wright integral extension theorem,” J. London Math. Soc.,11, No. 3, 276–284 (1975).
J. Riecan, “On the Kolmogorov consistency theorem for Riesz space-valued measures,” Acta Math Univ. Commen.,48/49, 173–180 (1986).
N. I. Akhiezer, Classical Moments Problem and Certain Associated Questions of Analysis [in Russian], Fizmatgiz, Moscow (1961).
Yu. M. Berezanskii, “Generalized exponential moments problem,” Tr. Mosk. Mat. O-va,21, 47–102 (1970).
Z. Sebestyen, “Moment theorems for operators on Hilbert space,” Acta Sci. Math. Szeged,47, No. 1/2, 101–106 (1984).
K. Schmüdgen, “On a generalization of the classical moments problem,” J. Math. Anal. and Appl.,125, No. 2, 461–479 (1987).
Additional information
Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 5, pp. 101–111, September–October, 1991.
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Malyugin, S.A. Quasi-Radon measures. Sib Math J 32, 812–821 (1991). https://doi.org/10.1007/BF00971179
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DOI: https://doi.org/10.1007/BF00971179