Abstract capacitary estimates and the completeness and separability of certain classes of non-locally convex topological vector spaces

DOI10.1016/j.jfa.2012.03.012zbMath1281.46029OpenAlexW2087462740MaRDI QIDQ425750

Marius Mitrea, Irina Mitrea, Elia Ziadé, Dorina Mitrea

Publication date: 8 June 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2012.03.012

zbMATH Keywords

capacityBoolean algebracompletenessseparabilitypointwise convergenceFatou propertyquasi-metric spacemetrization theoremquasi-Banach function spacesemigroupoid

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16)

Related Items (4)

𝐿^{𝑝}-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets ⋮ On the absolute continuity of additive and non-additive functions ⋮ Non-square points of Orlicz-Lorentz function spaces ⋮ Functions determining locally solid topological Riesz spaces continuously embedded in \(L^0\)

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