The Josefson-Nissenzweig property for locally convex spaces
نویسندگان
چکیده
We define a locally convex space E to have the Josefson-Nissenzweig property (JNP) if identity map (E?, ?(E?, E)) ? ?*(E?, is not sequentially continuous. By classical theorem, every infinite-dimensional Banach has JNP. A characterization of spaces with JNP given. thoroughly study in various function spaces. Among other results we show that for Tychonoff X, Cp(X) iff there weak* null-sequence (?n)n?? finitely supported sign-measures on X unit norm. However, neither B1(X) Baire-1 functions nor free L(X) over
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ژورنال
عنوان ژورنال: Filomat
سال: 2023
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2308517b