Pathological linear spaces and submeasures

DOI10.1007/BF01474174zbMath0516.28002MaRDI QIDQ1052480

James W. Roberts, Nigel J. Kalton

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163694

zbMATH Keywords

topology of convergence in measurepathological points of a topological vector spacepathological submeasuretopological point

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) Contents, measures, outer measures, capacities (28A12) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20)

Related Items (1)

Obituary: Nigel John Kalton, 1946-2010

Cites Work

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• Measures on Boolean algebras
• A simple example of pathological submeasure
• On the existence of pathological submeasures and the construction of exotic topological groups
• L 0 -Valued Vector Measures are Bounded
• Linear Operators on L p for 0 < p < 1
• Les mesures vectorielles à valeurs dans $\mathrm{L}^0$ sont bornées
• Sur les opérations linéaires dans l'espace des fonctions bornées

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