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References
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1. |
A. N. Kolmogorov, S. V. Fomin, Elementy teorii funktsii i funktsionalnogo analiza, 5-e izd., Nauka, M., 1981 ; A. N. Kolmogorov, S. V. Fomin, Elements of the Theory of Functions and Functional Analysis, v. I, II, Dover Publications, Mineola, New York, 1957, 1961 |
2. |
L. V. Kantorovich, G. P. Akilov, Funktsionalnyi analiz, 3-e izd., Nauka, M., 1984 ; L. V. Kantorovich, G. P. Akilov, Functional Analysis, Pergamon Press Ltd. & Nauka Publ., Oxford, New York, Toronto, Sydney, Paris, Frankfurt, 1982 |
3. |
J. Diestel, J. J. Uhl, Vector Measures, Math. Surveys, v. 15, AMS, Providence, 1977 |
4. |
I. V. Shragin, “The Nemytskii operator from $C$ to $L^M$”, Scientific notes of the Moscow Regional Pedagogical Institute, 77:5 (1969), 161–178 (In Russian) |
5. |
I. V. Shragin, “Usloviya izmerimosti superpozitsii”, Doklady Akademii nauk SSSR, 197:5 (1971), 295–298 |
6. |
I. V. Shragin, “Superposition measurability”, Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 1, 82–92 (In Russian) |
7. |
I. V. Shragin, “On one application of the theorems of Luzin, Tietze-Urysohn and the measurable choice theorem”, Boundary Value Problems, Interuniversity Collection of Scientific Papers, Perm Polytechnic Institute, Perm, 1979, 171–175 (In Russian) |
8. |
I. V. Shragin, Yu. V. Nepomnyaschikh, “$D$-usloviya Karateodori i ikh svyaz s $D$-nepreryvnostyu operatora Nemytskogo”, Izv. vuzov. Matem., 1997, no. 6, 70–82 |
9. |
A. V. Ponosov, Y. V. Nepomnyashchikh, “The necessity of the Carathéodory conditions for the lower semicontinuity in measure of the multivalued Nemytskii operator”, Nonlinear Analysis: Theory, Methods & Applications, 30:2 (1997), 727–734 |
10. |
I. V. Shragin, “Superposition measurability under generalized Carathéodory conditions”, Vestnik Tambovskogo universiteta. Seriya: estestvennye i tekhnicheskie nauki = Tambov University Reports. Series: Natural and Technical Sciences, 19:2 (2014), 476–478 (In Russian) |
11. |
I. D. Serova, “Superposition measurability of a multivalued function under generalized Carathéodory conditions”, Vestnik rossiyskikh universitetov. Matematika = Russian Universities Reports. Mathematics, 26:135 (2021), 305–314 (In Russian) |
12. |
V. L. Levin, Convex Analysis in Spaces of Measurable Functions and Its Application in Mathematics and Economics, Nauka Publ., Moscow, 1985 (In Russian) |
13. |
I. P. Natanson, Teoriya funktsi veschestvennoi peremennoi, 3-e izd., Nauka, M., 1974 ; I. P. Natanson, Theory of Functions of a Real Variable, v. I, Dover Publ., Mineola, New York, 2016 |
14. |
Y. V. Nepomnyashchikh, Properties of the Uryson Operator in Spaces of Uniformly Continuous and Almost Periodic Functions, Dep. VINITI, no. 2787–B92, PSU, Perm, 1992 (In Russian) |