La pathologie des relèvements invariants
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- by Michel Talagrand PDF
- Proc. Amer. Math. Soc. 84 (1982), 379-382 Request permission
Abstract:
Sur un groupe abélien localement compact $G$, il existe une fonction mesurable $f$ telle que pour tout relèvement $\rho$ de ${L^\infty }(G)$ invariant par translation, la fonction $\rho (f)$ ne soit pas universellement mesurable, et ne possède pas la propriété de Baire forte.References
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- A. Ionescu Tulcea and C. Ionescu Tulcea, On the existence of a lifting commuting with the left translations of an arbitrary locally compact group, Proc. Fifth Berkeley Sympos. Math. Statist. and Probability (Berkeley, Calif., 1965/66) Univ. California Press, Berkeley, Calif., 1967, pp. 63–97. MR 0212122
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 84 (1982), 379-382
- MSC: Primary 46G15; Secondary 28A51
- DOI: https://doi.org/10.1090/S0002-9939-1982-0640236-7
- MathSciNet review: 640236