The non-Archimedean analogs of the Bochner-Kolmogorov, Minlos-Sazonov and Kakutani theorems
Abstract
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- October 2000
- DOI:
- 10.48550/arXiv.math/0010230
- arXiv:
- arXiv:math/0010230
- Bibcode:
- 2000math.....10230L
- Keywords:
-
- Mathematics - Functional Analysis
- E-Print:
- 32 pages, AMS subject classification: 28C20 and 46S10