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- W2100069706 abstract "Cascales, Kakol, Saxon proved [3] that in a large class G of locally convex spaces (lcs) (containing (LM)-spaces and (DF)-spaces) for a lcs E 2 G the weak topology s(E, E') of E has countable tightness iff its weak dual (E', s(E', E)) is K-analytic. Applying examples of Pol [9] (and Kunen [12]) one gets that there exist Banach spaces C(X) over a compact scattered space X such that C(X) is not weakly K-analytic (even not weakly K-countably determined under (CH)) but the weak dual of C(X) has countable tightness. This provides also an example showing that (gDF)-spaces need not be in class G." @default.
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- W2100069706 date "2009-03-01" @default.
- W2100069706 modified "2023-10-18" @default.
- W2100069706 title "About an example of a Banach space not weakly K-analytic" @default.
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- W2100069706 doi "https://doi.org/10.1007/bf03191835" @default.
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