Natural ultrabornological, non-complete, normed function spaces

DOI10.1007/BF01207546zbMath0783.46003OpenAlexW2091180408MaRDI QIDQ1312346

Antonio Gilioli

Publication date: 17 March 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01207546

zbMATH Keywords

ultrabornologicalAlexiewicz normexamples of non- complete, normed ultrabornological spacesspace of Denjoy-Perron- Kurzweil-Henstock-integrable functionssubspaces of Fréchet spaces

Mathematics Subject Classification ID

Barrelled spaces, bornological spaces (46A08) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (2)

A survey on recent advances on the Nikodým boundedness theorem and spaces of simple functions ⋮ Spaces of vector functions that are integrable with respect to vector measures

Cites Work

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• The space of Henstock integrable functions of two variables
• Some normed barrelled spaces which are not Baire
• Generalized ordinary differential equations and continuous dependence on a parameter
• The Space of Pettis Integrable Functions is Barrelled
• A Riemann-Type Integral of Lebesgue Power
• Spaces of Conditionally Integrable Functions
• On some Theorems of Hahn, Banach and Steinhaus

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