This article is cited in 4 papers

Non-Archimedean free Banach spaces

S. V. Lyudkovskii

General Physics Institute named after A. M. Prokhorov, Russian Academy of Sciences

Abstract: 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.

UDC: 517.982+512.625.5+512.546

Received: 01.05.1995

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