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References
A. G. Kusraev and S. A. Malyugin, Some Questions of Vector Measure Theory [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk (1988).
E. V. Kolesnikov, “Several order projections generated by ideals of a vector lattice,” Sibirsk. Mat. Zh.,36, No. 6, 1342–1349 (1995).
E. V. Kolesnikov, “In the shadow of a positive operator,” Sibirsk. Mat. Zh.,37, No. 3, 592–598 (1996).
L. Weis, “On the representation of order continuous operators by random measures,” Trans. Amer. Math. Soc.,285, No. 2, 535–563 (1984).
I. I. Shamaev, “Decomposition and representation of regular operators,” Sibirsk. Mat. Zh.,30, No. 2, 192–202 (1989).
A. G. Kusraev and V. Z. Strizhevskiî., “Lattice-normed spaces and dominated operators,” in: Studies on Geometry and Mathematical Analysis [in Russian], Trudy Inst. Mat. Vol. 7 (Novosibirsk), Novosibirsk, 1987, pp. 132–157.
A. C. Zaanen, Riesz Spaces. Vol. 2, North-Holland, Amsterdam, etc. (1983).
E. V. Kolesnikov, “Decomposition of a positive operator,” Sibirsk. Mat. Zh.,30, No. 5, 77–79 (1989).
C. D. Aliprantis and O. Burkinshaw, “Projecting onto the band of kernel operators,” Houston J. Math.,11, No. 1, 7–14 (1985).
I. I. Shamaev, “An operator that is disjoint to the homomorphisms, the Maharam operators, and the integral operators,” in: Optimizatsiya [in Russian], 1990, No. 48(65), pp. 154–159.
Additional information
Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 39, No. 2, pp. 333–342, March–April, 1998.
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Kolesnikov, E.V. Thé diffuse and atomic components of a positive operator. Sib Math J 39, 292–300 (1998). https://doi.org/10.1007/BF02677513
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DOI: https://doi.org/10.1007/BF02677513