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Points of diffusion of linear operators and almost diffuse operators in spaces of continuous functions

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References

  1. Banach, S.: Théorie des opérations linéaires. Warszawa 1932.

  2. Bartle, R. G., N. Dunford, andJ. Schwartz: Weak compactness and vector measures. Canad. J. Math.7, 289–305 (1955).

    Google Scholar 

  3. Bourbaki, N.: Intégration, Chap. V. Paris: Hermann et Cie. 1956.

    Google Scholar 

  4. Daugavet, I. K.: A property of completely continuous operators in the spaceC. Uspehi Mat. Nauk18, no. 5 (113), 157–158 (1963) [Russian].

    Google Scholar 

  5. Dieudonné, J.: Sur le théorème de Lebesgue-Nikodym (V). Canad. J. Math.3, 129–139 (1951).

    Google Scholar 

  6. Dinculeanu, N.: Sur la représentation intégrale de certaines opérations linéaires. C.R. Acad. Sci. (Paris)245, 1203–1205 (1957).

    Google Scholar 

  7. Foiaş, C., andI. Singer: Some remarks on the representation of linear operators in spaces of vector-valued continuous functions. Rev. math. pures et appl.5, 729–752 (1960).

    Google Scholar 

  8. Grothendieck, A.: Sur les applications linéaires faiblement compactes d'espaces du typeC (K). Canad. J. Math.5, 129–173 (1953).

    Google Scholar 

  9. Grothendieck, A.: Produits tensoriels topologiques et espaces nucléaires. Memoirs Amer. Math. Soc. no. 16 (1955).

  10. Schwartz, L.: Théorie des distributions à valeurs vectorielles, I, II. Ann. Inst. Fourier (Grenoble)7, 1–147 (1957);8, 1–209 (1958).

    Google Scholar 

  11. Singer, I.: Sur les applications linéaires intégrales des espaces de fonctions continues à valeurs vectorielles. Acta Math. Acad. Sci. Hung.11, 3–13 (1960).

    Google Scholar 

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  1. Mathematical Institute, R.P.R. Aademy, M. Eminescu 47, Bucarest 3, Roumania

    Ciprian Foiaş & Ivan Singer

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  1. Ciprian Foiaş
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  2. Ivan Singer
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Foiaş, C., Singer, I. Points of diffusion of linear operators and almost diffuse operators in spaces of continuous functions. Math Z 87, 434–450 (1965). https://doi.org/10.1007/BF01111723

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