Mathematische Annalen

, Volume 165, Issue 3, pp 181–195

Hebbare lokalkonvexe Räume

  • Gottfried Köthe
Article

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literatur

  1. [1]
    Gohberg, I. C., andM. G. Krein: The basic propositions on defect numbers, root numbers and indices of linear operators. Uspehi Mat. Nauk (N.S.)12 (1957), no. 2 (74), 43–118; AMS Translation Series 2,13, 185–264 (1960).Google Scholar
  2. [2]
    Goodner, D. B.: Projections in normed linear spaces. Trans. Am. Math. Soc.69, 89–108 (1950).Google Scholar
  3. [3]
    Grothendieck, A.: Une caractérisation vectorielle-métrique des espacesL 1. Canad. J. Math.7, 552–561 (1955).Google Scholar
  4. [4]
    Hasumi, M.: The extension property of complex Banach spaces. Tôhoku Math. J.10, 135–142 (1958).Google Scholar
  5. [5]
    Kelley, J. L.: Banach spaces with the extension property. Trans. Am. Math. Soc.72, 323–326 (1952).Google Scholar
  6. [6]
    Köthe, G.: Das Reziprokentheorem für zeilenabsolute Matrizen. Monatsh. Math. Physik47, 224–233 (1939).Google Scholar
  7. [7]
    —— Topologische lineare Räume I. Berlin-Göttingen-Heidelberg: Springer 1960.Google Scholar
  8. [8]
    —— Vollständige lokalkonvexe Räume abzählbarer Dimension. Arch. Math.13, 377–384 (1962).Google Scholar
  9. [9]
    Lindenstrauss, J.: Extension of compact operators. Mem. Am. Math. Soc. Nr. 48 (1964).Google Scholar
  10. [10]
    Nachbin, L.: A theorem of the Hahn Banach type for linear transformations Trans. Am. Math. Soc.68, 28–46 (1950).Google Scholar
  11. [11]
    -- Some problems in extending and lifting continuous linear transformations. Proc. Intern. Symposium on linear spaces, Jerusalem 1961, 340–350.Google Scholar
  12. [12]
    Pełcyński, A.: Projections in certain Banach spaces. Studia Math.19, 209–228 (1960).Google Scholar
  13. [13]
    Phillips, R. S.: On linear transformations. Trans. Am. Math. Soc.48, 516–541 (1940).Google Scholar

Copyright information

© Springer-Verlag 1966

Authors and Affiliations

  • Gottfried Köthe
    • 1
  1. 1.6 Frankfurt/Main

Personalised recommendations