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· 2008

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math.FA 1

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2026 1

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On weak convergence in K\"{o}the-Bochner function spaces

math.FA · 2026-05-13 · unverdicted · novelty 6.0

If X* fails the Radon-Nikodým property then the closed unit ball of E*(X*) is not a James boundary for the Köthe-Bochner space E(X) when E is order continuous over a non-purely-atomic measure.

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  • On weak convergence in K\"{o}the-Bochner function spaces math.FA · 2026-05-13 · unverdicted · none · ref 14

    If X* fails the Radon-Nikodým property then the closed unit ball of E*(X*) is not a James boundary for the Köthe-Bochner space E(X) when E is order continuous over a non-purely-atomic measure.