Open problems in Banach spaces and measure theory

Jose Rodriguez

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arXiv · 1607.07787

Open problems in Banach spaces and measure theory

Jose Rodriguez

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Abstract

We collect several open questions in Banach spaces, mostly related to measure theoretic aspects of the theory. The problems are divided into five categories: miscellaneous problems in Banach spaces (non-separable $L^p$ spaces, compactness in Banach spaces, $w^*$-null sequences in dual spaces), measurability in Banach spaces (Baire and Borel $\sigma$-algebras, measurable selectors), vector integration (Riemann, Pettis and McShane integrals), vector measures (range and associated $L^1$ spaces) and Lebesgue-Bochner spaces (topological and structural properties, scalar convergence).

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BibTeX RIS

Jose Rodriguez. 2016-07-26. Open problems in Banach spaces and measure theory. https://arxiv.org/abs/1607.07787

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