Skip to main content
Log in

Spaces of measurable vector-functions not containing the spaceι 1

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  2. A. V. Bukhvalov, “Banach spaces of measurable vector-valued functions,” Usp. Mat. Nauk,35, No. 1, 235 (1980).

    Google Scholar 

  3. G. Pisier, “Une propriété de stabilité de la classe des espaces ne contenant pasι 1,” C. R. Acad. Sci. Paris, Sér. A,286, No. 17, 747–749 (1978).

    Google Scholar 

  4. A. V. Bukhvalov, “Generalization of the theorem of Kolmogorov-Nagumo to tensor products,” in: Qualitative and Approximate Methods of Investigation of Operator Equations [in Russian], Vol. 4, Yaroslavl' (1979), pp. 48–65.

    Google Scholar 

  5. H. P. Rosenthal, “Pointwise compact subsets of the first Baire class,” Am. J. Math.,99, No. 2, 362–378 (1977).

    Google Scholar 

  6. A. V. Bukhvalov, A. I. Veksler, and G. Ya. Lozanovskii, “Banach lattices — some Banach aspects of the theory,” Usp. Mat. Nauk,34, No. 2, 137–183 (1979).

    Google Scholar 

  7. A. V. Bukhvalov, “Radon-Nikodym property in Banach spaces of measurable vector-functions,” Mat. Zametki,26, No. 6, 875–884 (1979).

    Google Scholar 

  8. A. V. Bukhvalov, “Analytic representatin of linear operators with the help of measurable vector-functions,” Izv. Vyssh. Uchebn. Zaved., Mat.,7, 21–31 (1977).

    Google Scholar 

  9. G. Ya. Lozanovskii, “Banach structures,” Sib. Mat. Zh.,10, No. 3, 584–599 (1969).

    Google Scholar 

  10. A. V. Bukhvalov, “Analytic representation of operators with abstract norm,” Dokl. Akad. Nauk SSSR,208, No. 5, 1012–1015 (1973).

    Google Scholar 

  11. A. V. Bukhvalov, “Spaces with mixed norm,” Vestn. Leningr. Gos. Univ.,19, 5–12 (1973).

    Google Scholar 

  12. A. V. Bukhvalov, “Spaces of vector-functions and tensor products,” Sib. Mat. Zh.,13, No. 6, 1229–1238 (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 34, No. 3, pp. 425–430, September, 1983.

The authors consider it their pleasant duty to thank A. V. Bukhvalov for posing the problem and for help with the work.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Geiler, V.A., Chubarova, L.V. Spaces of measurable vector-functions not containing the spaceι 1 . Mathematical Notes of the Academy of Sciences of the USSR 34, 698–700 (1983). https://doi.org/10.1007/BF01140352

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01140352

Navigation