3 problems

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Davis–Johnson conjecture on scalar convergence in spaces with non-Radon–Nikodým duals
Let $\mathfrak X$ be a Banach space. An $L_\infty(\mathfrak X)$ -bounded sequence is a sequence of $\mathfrak X$ -valued measurable functions bounded in the $L_\infty$ norm, and it c…
Conjectureopenbanach-spaces functional-analysis radon-nikodym-propertyarXiv posted 2 days ago
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Separability conjecture for equality of weak* Sobolev and upper-gradient spaces
Separability conjecture. If
Conjectureopenbanach-spaces radon-nikodym-property sobolev-mapsarXiv posted 2 days ago
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Difference quotient characterization conjecture for the Radon–Nikodým property of Banach function spaces
Let $X( Omega)$ be a Banach function space, and let the difference quotient criterion be the condition in which the estimate referenced as equation DQC1:1 characterizes membership…
Conjectureopenbanach-function-spaces radon-nikodym-property sobolev-spacesarXiv posted 2 days ago

Davis–Johnson conjecture on scalar convergence in spaces with non-Radon–Nikodým duals