A note on biduals of strict (LF)-spaces (Q1107786)
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scientific article; zbMATH DE number 4065655
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on biduals of strict (LF)-spaces |
scientific article; zbMATH DE number 4065655 |
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A note on biduals of strict (LF)-spaces (English)
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1988
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The aim of this note is to answer two questions of \textit{A. Grothendieck} [Sur les espace (F) et (DF), Summa Brasil. Math. 3, 57-123 (1954; Zbl 0058.098)]. It is shown that the bidual of a strict (LF)-space is not necessarily an (LF)-space (even if every step of the (LF)-space is distinguished), and that the strong dual of a strict (LF)-space need not be countably barrelled.
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bidual of a strict (LF)-space
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distinguished
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strong dual of a strict (LF)-space
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countably barrelled
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