Non-archimedean vector measures and integral operators (Q2751720)
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scientific article; zbMATH DE number 1665059
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-archimedean vector measures and integral operators |
scientific article; zbMATH DE number 1665059 |
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21 October 2001
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vector measures
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non-Archimedean vector-valued integration
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measures and integrals
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vectorial case
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Non-archimedean vector measures and integral operators (English)
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In the book of \textit{A. C. M. van Rooij} [``Non-Archimedean functional analysis'', New York (1978; Zbl 0396.46061)] a theory of measures and integrals with values in a non-Archimedean valued field \(K\) was developed. In the present paper this theory is extended to the vectorial case, where measures and integrals are \(E\)-valued, where \(E\) is a non-Archimedean normed space over \(K\). The authors succeed in showing that, by and large, the results are similar to the scalar case.NEWLINENEWLINEFor the entire collection see [Zbl 0969.00058].
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