FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 4, PAGES 979-987

Non-Archimedean free Banach spaces

S.V.Lüdkovsky

The article is devoted to the investigation of free Banach spaces over non-Archimedean fields, generated by ultrametrizable spaces X. Their isomorfisms with spaces of integrable functions are proved for compact X. Non-Archimedean free locally convex spaces generated by uniform spaces X are also considered.

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