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On cones of step functions in rearrangement invariant spaces

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References

  1. S. G. Kre in, Yu. I. Petunin, and E. M. Semënov, Interpolation of Linear Operators [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  2. V. M. Malamid, “On cones determining rearrangement invariant spaces,” in: Studies in the Theory of Several Real Variables [in Russian], Izdat. Yaroslavl. Univ., Yaroslavl', 1981, pp. 45–54.

    Google Scholar 

  3. N. K. Bari, Trigonometric Series [in Russian], Fizmatgiz, Moscow (1961).

    Google Scholar 

  4. I. Ya. Novikov, “Sequences of characteristic functions in rearrangement invariant spaces,” Sibirsk. Mat. Zh.,24, No. 2, 193–196 (1983).

    Google Scholar 

  5. J. Bergh and J. Löfström, Interpolation Spaces. An Introduction [ [Russian translation], Mir, Moscow (1980).

    Google Scholar 

  6. M. A. Krasnosel'ski i and Ya. F. Rutitskii, Convex Orlicz Spaces [in Russian], Fizmatgiz, Moscow (1958).

    Google Scholar 

  7. V. I. Ovchinnikov, “The orbit method in interpolation theory,” Math. Rep.,1, 349–515 (1984).

    Google Scholar 

  8. V. I. Ovchinnikov, “On a connection between the complex and real interpolation methods,” in: Abstracts: 16 All-Union Conference on Operator Theory in Functional Spaces [in Russian] Nizhni i Novgorod, 1991, p. 167.

  9. S. V. Astashkin, “Description of the interpolation spaces between (l 1(ω0),l 1(ω1)) and (l ∞(ω0),l ∞(ω1)),” Mat. Zametki,35, No. 4, 794–797 (1984).

    Google Scholar 

  10. S. V. Astashkin, “A property of functors of the real interpolation method,” Mat. Zametki,39, No. 3, 393–407 (1985).

    Google Scholar 

  11. T. Shimogaki, “A note on norms of compression on function spaces,” Proc. Japan Acad.,46, 239–242 (1970).

    Google Scholar 

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Authors
  1. S. V. Astashkin
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Samara. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 4, pp. 7–16, July–August, 1993.

Translated by V. N. Dyatlov

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Astashkin, S.V. On cones of step functions in rearrangement invariant spaces. Sib Math J 34, 597–605 (1993). https://doi.org/10.1007/BF00975159

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  • DOI: https://doi.org/10.1007/BF00975159

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