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Negligible sets in locally convex spaces

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Literature cited

  1. N. Aronszajn, “Differentiability of Lipschitzian mappings between Banach spaces,” Stud. Math.,57, No. 2, 147–190 (1976).

    Google Scholar 

  2. R. R. Phelps, “Gaussian null sets and differentiability of Lipschitz map on Banach spaces,” Pac. J. Math.,77, No. 2, 523–531 (1978).

    Google Scholar 

  3. V. I. Bogachev, “Negligible sets and differentiable measures in Banach spaces,” Vestn. Mosk. Gos. Univ. Ser. I, Mat. Mekh., No. 3, 47–52 (1982).

    Google Scholar 

  4. N. Dunford and J. T. Schwartz, Linear Operators, Parts I–III, Interscience, New York (1958, 1963, 1971).

    Google Scholar 

  5. A. V. Skorokhod, Integration in Hilbert Space, Springer-Verlag, New York (1974).

    Google Scholar 

  6. O. G. Smolyanov, Analysis on Linear Topological Spaces and Its Applications [in Russian], Moscow State Univ. (1979).

  7. V. I. Averbukh, O. G. Smolyanov, and S. V. Fomin, “Generalized functions and differential equations in linear spaces. I. Differentiable measures,” Tr. Mosk. Mat. Obshch.,24, 132–174 (1971).

    Google Scholar 

  8. H.-H. Kuo, “Gaussian measures in Banach spaces,” Lecture Notes Math. No. 463, Springer-Verlag, Berlin (1975).

    Google Scholar 

  9. V. A. Romanov, “Limits of differentiable measures in a Hilbert space,” Ukr. Mat. Zh.,33, No. 2, 215–219 (1981).

    Google Scholar 

  10. H. H. Schaefer, Topological Vector Spaces, Springer-Verlag, New York (1971).

    Google Scholar 

  11. N. Bourbaki, Integration, Addison-Wesley (1977).

  12. R. E. Edwards, Functional Analysis. Theory and Applications, Holt, Rinehart and Winston, New York (1965).

    Google Scholar 

  13. O. G. Smolyanov and S. V. Fomin, “Measures on linear topological spaces,” Usp. Mat. Nauk,31, No. 4, 3–56 (1976).

    Google Scholar 

  14. N. N. Vakhaniya and V. I. Tarieladze, “Covariance operators of probability measures in locally convex spaces,” Teor. Veroyatn. Primen.,23, No. 1, 3–26 (1978).

    Google Scholar 

  15. J. Diestel, “Geometry of Banach spaces—selected topics,” Lect. Notes Math., No. 485, Springer-Verlag, Berlin (1975).

    Google Scholar 

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    V. I. Bogachev

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  1. V. I. Bogachev
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Translated from Matematicheskie Zametki, Vol. 36, No. 1, pp. 51–64, July, 1984.

In conclusion, the author expresses his gratitude to O. G. Smolyanov for his interest in this paper.

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Bogachev, V.I. Negligible sets in locally convex spaces. Mathematical Notes of the Academy of Sciences of the USSR 36, 519–526 (1984). https://doi.org/10.1007/BF01139552

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