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\((DF)\)-spaces of vector-valued integrable functions

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Publication:1894904
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DOI10.1007/BF01196584zbMath0823.46001OpenAlexW2034964273MaRDI QIDQ1894904

Pedro J. Paúl, Miguel Florencio, Fernando Mayoral

Publication date: 5 November 1995

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

Full work available at URL: https://doi.org/10.1007/bf01196584


zbMATH Keywords

quasi-normable\((DF)\)-space\(gDF\)Bierstedt-Bonet dual density conditionperfect and order continuous Köthe function spacespace of all Lusin-measurable \(E\)-valued functions


Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Locally convex Fréchet spaces and (DF)-spaces (46A04) Barrelled spaces, bornological spaces (46A08)




Cites Work

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  • Barrelledness conditions on certain vector valued sequence spaces
  • Permanence properties of C(X,E)
  • Dual density conditions in (DF)-spaces. I
  • Inductive limits of spaces of vector-valued integrable functions
  • A wide class of ultrabornological spaces of measurable functions
  • Sur les espaces de Köthe
  • The Lebesgue-Nikodym Theorem for Vector Valued Radon Measures
  • Spaces of Vector‐Valued Integrable Functions and Localization of Bounded Subsets
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