The non-Archimedean analogs of the Bochner-Kolmogorov, Minlos-Sazonov and Kakutani theorems

Details The non-Archimedean analogs of the Bochner-Kolmogorov, Minlos-Sazonov and Kakutani theorems The non-Archimedean analogs of the Bochner-Kolmogorov, Minlos-Sazonov and Kakutani theorems

2000-10-25

arxiv.org/abs/math/0010230v1

Mathematics

Functional Analysis

32 pages, AMS subject classification: 28C20 and 46S10

Scientific paper

Measures on a non-Archimedean Banach space $X$ are considered with values in
the real field $\bf R$ and in the non- Archimedean fields. The non-Archimedean
analogs of the Bochner- Kolmogorov and Minlos-Sazonov theorems are given.
Moreover, infinite products of measures are studied and the analog of the
Kakutani theorem is investigated.

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