2009
DOI: 10.12697/acutm.2009.13.04
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An inclusion theorem for non-archimedean sequence spaces

Abstract: It is proved that a non-archimedean FK-space E includes the space c0 of null-sequences if and only if E includes the space l1` of absolutely summable sequences, and for both inclusions the boundedness in E of the set {ek | k ∈ N} of the unit vectors is necessary and sufficient.It is shown that in the non-archimedean context the concepts of wedge space and semiconservative space are equivalent.

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