On the extension of cylinder measures to $\tau$-smooth measures in linear spaces
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- by Dirk Heidemann PDF
- Proc. Amer. Math. Soc. 61 (1976), 59-65 Request permission
Abstract:
We give a necessary and sufficient condition for a cylindrical probability measure in the weak$^{\ast }$-dual of an arbitrary l.c.s. to extend to a $\tau$-smooth Borel-measure; this is to a certain extent a “$\tau$-smooth analogue” of the well-known Prohorov extension theorem (cf. [8, Lemma 3]). Finally, we give two examples marking off our result from related ones treated in the literature.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 61 (1976), 59-65
- MSC: Primary 28A40; Secondary 60B05
- DOI: https://doi.org/10.1090/S0002-9939-1976-0422562-7
- MathSciNet review: 0422562