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Various types of barrelledness and increasing sequences of balanced and convex sets in locally convex spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 331)

Keywords

  • Topological Vector Space
  • Hausdorff Space
  • Algebraic Closure
  • Inductive Limit
  • Countable Union

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References

  1. AMEMIYA, I., KOMURA, Y.: Über nicht-vollständige MontelRäume. Math.Ann., 177, 273–277 (1968).

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  2. DE WILDE, M.: Réseaux dans les espaces linéaires à semi-normes. Mém.Soc.Royale Sc.Liège, 18, 2 (1969).

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  3. DE WILDE, M., HOUET, C.: On increasing sequences of absolutely convex sets in locally convex spaces. Math.Ann., 192, 257–261 (1971).

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  4. DE WILDE, M., GERARD-HOUET, C.: Sur les propriétés de tonnelage des espaces vectoriels topologiques. Bull.Soc.Royale Sc.Liège, 11–12, 555–560 (1971).

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  5. GROTHENDIECK, A.: Sur les espaces (F) et (D F. Summa Brasil. Math., 3, 57–123 (1954).

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  6. KÖTHE, G.: Topologische lineare Räume. I. Berlin-Heidelberg-New-York, Springer, 1966.

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  7. VALDIVIA, M.: Absolutely convex sets in barrelled spaces. Ann.Inst.Fourier, 21 (1971).

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© 1973 Springer-Verlag

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De Wilde, M. (1973). Various types of barrelledness and increasing sequences of balanced and convex sets in locally convex spaces. In: Waelbroeck, L. (eds) Summer School on Topological Vector Spaces. Lecture Notes in Mathematics, vol 331. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068232

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  • DOI: https://doi.org/10.1007/BFb0068232

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06367-4

  • Online ISBN: 978-3-540-46977-3

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