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There is no natural topology on duals of locally convex spaces

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References

  1. N.Bourbaki, Topologie générale, Chap. I–IV. Paris 1971.

  2. N.Bourbaki, Espaces vectoriels topologiques, Chap. I–II. Paris 1953.

  3. N.Bourbaki, Espaces vectoriels topologiques, Chap. III–V. Paris 1955.

  4. H.Hogbe-Nlend, Bornologies and Functional Analysis. North Holland 1977.

  5. G.Köthe, Topologische lineare Räume I. Berlin-Heidelberg-New York 1960.

  6. P.Pérez Carreras and J.Bonet, Barrelled locally convex spaces. North-Holland 1987

  7. H. H.Schaefer, Topological vector spaces. Graduate Texts in Mathematics3, Berlin-Heidelberg-New York 1986.

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Author notes

  1. Klaus Floret

    Present address: Fachbereich Mathematik, Universität Oldenburg, D-26111, Oldenburg

  2. Heinz König

    Present address: Fachbereich Mathematik, Universität des Saarlandes, D-66041, Saarbrücken

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    1. Klaus Floret
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    2. Heinz König
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    Floret, K., König, H. There is no natural topology on duals of locally convex spaces. Arch. Math 62, 459–461 (1994). https://doi.org/10.1007/BF01196437

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