References
A. G. Kusraev, Vector Duality and Its Applications [in Russian], Nauka, Novosibirsk (1985).
A. G. Kusraev and S. A. Malyugin, Some Questions of Vector Measure Theory [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk (1988).
A. V. Bukhvalov, “On an analytic representation of operators with abstract norm,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 11, 21–32 (1975).
V. L. Levin, Convex Analysis in Spaces of Measurable Functions and Its Application to Mathematics and Economics [in Russian], Nauka, Moscow (1985).
D. H. Fremlin, “Tensor products of Banach lattices,” Math. Ann.,211, No. 2, 87–106 (1974).
G. Wittstock, “Ordered normed tensor products,” Lecture Notes in Phys.,29, 67–84 (1974).
N. Dinculeanu, Vector Measures, VEB Deutscher Verlag der Wissenschaften, Berlin (1966).
J. Diestel and J. Uhl, Vector Measures, Amer. Math. Soc, Providence, RI (1977) (Series: Mathematical Surveys, 15).
G. N. Shotaev, “On bilinear operators in lattice-normed spaces,” in: Optimizatsiya [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk, 1986, No. 37, pp. 38–50.
A. G. Kusraev and V. Z. Strizhevskii, On Structure of Lattice-Normed Spaces [Preprint] [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk (1984).
G. N. Shotaev, “On the tensor product of Banach spaces with mixed norm,” in: Optimizatsiya [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk, 1989, No. 45(62), pp. 117–129.
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Translated fromSibirskii Matematicheskii Zhurnal, Vol. 36, No. 4, pp. 958–964, July–August, 1995.
The author is sincerely grateful to A. G. Kusraev for useful remarks and interest in the article.
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Shotaev, G.N. Analytic representations of dominated bilinear operators. Sib Math J 36, 830–835 (1995). https://doi.org/10.1007/BF02107342
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DOI: https://doi.org/10.1007/BF02107342