Complex 2-normed linear spaces and extension of linear 2-functionals (Q5938150)
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scientific article; zbMATH DE number 1621537
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complex 2-normed linear spaces and extension of linear 2-functionals |
scientific article; zbMATH DE number 1621537 |
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Complex 2-normed linear spaces and extension of linear 2-functionals (English)
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19 November 2002
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The authors show a theorem of Hahn-Banach type for 2-linear functionals on 2-normed complex linear spaces. This extension is not trivial, because Bohnenblust-Sobczyk technique, which is working in the real case, is not directly applicable. This paper includes as an application of this theorem the proof of a 2-normed version of the Ascoli-Mazur theorem on tangent functionals and several examples and counter examples.
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2-normed complex linear spaces
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Hahn-Banach type theorem
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2-linear function
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Bohnenblust-Sobczyk technique
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Ascoli-Mazur theorem
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tangent functionals
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