Some Steinhaus type theorems over valued fields (Q677875)

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scientific article; zbMATH DE number 1000028
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English
Some Steinhaus type theorems over valued fields
scientific article; zbMATH DE number 1000028

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    Some Steinhaus type theorems over valued fields (English)
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    8 October 1998
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    The field \(K\) is either \(\mathbb{R}\), \(\mathbb{C}\) or a non archimedean valued field. Over such a field one considers sequence spaces (e.g. \(\ell_p\), \(\ell_{\infty}\)) and infinite matrices mapping one space of sequences to another. The theorems are concerned with infinite matrices that map various sequence spaces to others.
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    sequences spaces
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    non-archimedean analysis
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    infinite matrices
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