Banach–Saks indexes of Rademacher subspaces
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2009), pp. 44-51

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper is devoted to the study of subspaces of rearrangement invariant spaces, generated by Rademacher system, and to the calculation of their Banach–Saks indexes.
Keywords: Rademacher system, rearrangement invariant space, Banach–Saks index.
A. I. Novikova. Banach–Saks indexes of Rademacher subspaces. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2009), pp. 44-51. http://geodesic.mathdoc.fr/item/VSGU_2009_4_a3/
@article{VSGU_2009_4_a3,
     author = {A. I. Novikova},
     title = {Banach{\textendash}Saks indexes of {Rademacher} subspaces},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {44--51},
     year = {2009},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2009_4_a3/}
}
TY  - JOUR
AU  - A. I. Novikova
TI  - Banach–Saks indexes of Rademacher subspaces
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2009
SP  - 44
EP  - 51
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VSGU_2009_4_a3/
LA  - ru
ID  - VSGU_2009_4_a3
ER  - 
%0 Journal Article
%A A. I. Novikova
%T Banach–Saks indexes of Rademacher subspaces
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2009
%P 44-51
%N 4
%U http://geodesic.mathdoc.fr/item/VSGU_2009_4_a3/
%G ru
%F VSGU_2009_4_a3

[1] Krein S. G., Petunin Yu. I., Semenov E. M., Interpolyatsiya lineinykh operatorov, M., 1978, 400 pp. | MR

[2] Lindennstrauss J., Tzafriri L., Classical Banach Spaces. II. Function Spaces, Springer-Verlag, Berlin, 1979, 243 pp. | MR

[3] Semenov E. M., Sukochev F. A., “Indeks Banakha–Saksa”, Matem. sbornik, 195(2) (2004), 117–140 | DOI | MR | Zbl

[4] Rodin V. A., Semenov E. M., “Rademacher series in symmetric spaces”, Anal. Mathematika, 1 (1975), 207–222 | DOI | MR | Zbl

[5] Bergh J., Lofstrom J., Interpolation Spaces. An introduction, Springer-Verlag, Berlin, 1976. | MR | Zbl

[6] Astashkin S. V., “Ob interpolyatsii podprostranstv simmetrichnykh prostranstv, porozhdennykh sistemoi Rademakhera”, IZVESTIYa RAEN. Cer. MMMIU, 1(1) (1997), 18–35 | MR | Zbl

[7] Astashkin S. V., “O prostranstve multiplikatorov, porozhdennykh sistemoi Rademakhera”, Matem. zametki, 75(2) (2004), 173–181 | DOI | MR | Zbl

[8] Nikishin E. M., “Ob odnom svoistve summ nezavisimykh velichin”, Matem. zametki, 16(5) (1974), 703–707

[9] Pisier G., “De nouvelles caracterisations des ensembles de Sidon. Mathematical analysis and applications, B”, Adv. in Math. Suppl. Stud., 7B (1981), 686–725 | MR

[10] Sparr G., “Interpolation of weighted $L_p$-spaces”, Studia Math., 62 (1987), 229–271 | MR

[11] Astashkin S. V., Sukochev F. A., Semenov E. M., “The Banach-Saks p-property”, Mathematische Annalen., 332 (2005), 879–900 | DOI | MR | Zbl