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Some examples of normed Köthe spaces

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References

  1. Gould, G. G.: On a class of integration spaces. J. London Math. Soc.34, 161–172 (1959).

    Google Scholar 

  2. Korenblyum, B. I., S. G. Kreïn, andB. Ya. Levin: On certain nonlinear questions of the theory of singular integrals. Doklady Akad. Nauk SSSR62, 17–20 (1948).

    Google Scholar 

  3. Luxemburg, W. A. J., andA. C. Zaanen: Compactness of integral operators. Math. Ann.149, 150–180 (1963).

    Google Scholar 

  4. -- Notes on Banach function spaces I–V. Proc. Acad. Sci. Amsterdam A 66 (Indag. Math.25), 135–147, 148–153, 239–250, 251–263, 496–504 (1963).

  5. -- Notes on Banach function spaces VI–VII. Proc. Acad. Sci. Amsterdam A 66 (Indag. Math.25), 655–668, 669–681.

  6. Natanson, I. P.: On an inequality. Doklady Akad. Nauk SSSR56, 911–913 (1947).

    Google Scholar 

  7. -- Theorie der Funktionen einer reelen Veränderlichen. Berlin 1954, Kap. X, § 2.

  8. Schäffer, J. J.: Function spaces with translations. Math. Ann.137, 209–262 (1959).

    Google Scholar 

  9. Tandori, K.: Über die Konvergenz singulärer Integrale. Acta Szeged15, 223–230 (1953–54).

    Google Scholar 

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Dedicated to ProfessorG. Köthe on the occasion of his sixtieth birthday on December 25, 1965

The preparation of this paper was supported in part by the National Science Foundation of the U.S.A. under grant NSF-G 213 and in part by the Netherlands Organization for the Advancement of Pure Research (Z.W.O.).

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Luxemburg, W.A.J., Zaanen, A.C. Some examples of normed Köthe spaces. Math. Ann. 162, 337–350 (1966). https://doi.org/10.1007/BF01369107

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