Convergence of sequences of distributions
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- by R. M. Dudley
- Proc. Amer. Math. Soc. 27 (1971), 531-534
- DOI: https://doi.org/10.1090/S0002-9939-1971-0270145-X
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Abstract:
It is shown that in L. Schwartzâs distribution space $\mathcal {D}â$, there exist sequentially open sets which are not open. The class of all sequentially open sets is not compatible with the vector space structure on $\mathcal {D}â$.References
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Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 531-534
- MSC: Primary 46.40
- DOI: https://doi.org/10.1090/S0002-9939-1971-0270145-X
- MathSciNet review: 0270145