On the Algebraic Dimension Of Banach Spaces Over Non-Archimedean Valued Fields Of Arbitrary Rank

Herminia Ochsenius, W. H. Schikhof


Let K be a complete non-archimedean valued field of any rank, and let E be a K-Banach space with a countable topological base. We determine the algebraic dimension of E (2.3, 2.4, 3.1).

Palabras clave

Banach spaces ; Valued fields ; Algebraic dimension.

Texto completo:



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DOI: http://dx.doi.org/10.4067/S0716-09172007000300001

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