Norm estimates of operator blocks in Banach lattices
Sbornik. Mathematics, Tome 54 (1986) no. 2, pp. 317-333 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Operator blocks in Banach lattices are studied in this paper. Bibliography: 18 titles.
@article{SM_1986_54_2_a2,
     author = {E. M. Semenov and A. M. Shteinberg},
     title = {Norm estimates of operator blocks in {Banach} lattices},
     journal = {Sbornik. Mathematics},
     pages = {317--333},
     year = {1986},
     volume = {54},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1986_54_2_a2/}
}
TY  - JOUR
AU  - E. M. Semenov
AU  - A. M. Shteinberg
TI  - Norm estimates of operator blocks in Banach lattices
JO  - Sbornik. Mathematics
PY  - 1986
SP  - 317
EP  - 333
VL  - 54
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SM_1986_54_2_a2/
LA  - en
ID  - SM_1986_54_2_a2
ER  - 
%0 Journal Article
%A E. M. Semenov
%A A. M. Shteinberg
%T Norm estimates of operator blocks in Banach lattices
%J Sbornik. Mathematics
%D 1986
%P 317-333
%V 54
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1986_54_2_a2/
%G en
%F SM_1986_54_2_a2
E. M. Semenov; A. M. Shteinberg. Norm estimates of operator blocks in Banach lattices. Sbornik. Mathematics, Tome 54 (1986) no. 2, pp. 317-333. http://geodesic.mathdoc.fr/item/SM_1986_54_2_a2/

[1] Mityagin B. S., “Gomotopicheskaya struktura lineinoi gruppy banakhova prostranstva”, UMN, 25:5 (1970), 63–106 | MR | Zbl

[2] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz, Nauka, M., 1977 | MR | Zbl

[3] Edelstein L, Mitjagin B., Semenov E., “The linear groups of $L_1$ and $C$ are contractible”, Bull. Acad. Polon. Sci., Ser. Math., 18:1 (1970), 27–33 | MR | Zbl

[4] Semenov E. M., Tsirelson B. S., “Zadacha o malosti operatornykh blokov v prostranstvakh $L_p$”, Zait. Anal, und ihre Anwend., 2:4 (1983) | MR | Zbl

[5] Krein S. G., Petunin Yu. I., Semenov E. M., Interpolyatsiya lineinykh operatorov., Nauka, M., 1978 | MR

[6] Nikishin E. M., “Rezonansnye teoremy i nadlineinye operatory”, UMN, 25:6 (1970), 129–191 | MR | Zbl

[7] Semenov E. M., Shteinberg A. M., “Operatornye bloki v prostranstvakh $L_{p,q}$”, DAN SSSR, 272:1 (1983), 38–40 | MR | Zbl

[8] Berg I., Lëfstrem I., Interpolyatsionnye prostranstva. Vvedenie, Mir, M., 1980 | MR

[9] Brudnyi Yu. A., Kruglyak N. Ya., “Funktory veschestvennoi interpolyatsii”, DAN SSSR, 256:1 (1981), 14–17 | MR | Zbl

[10] Nilsson P., “Reiteration Theorems for Real Interpolation and Approximation Spaces”, Ann. di Math, pura ed Appl., 23 (1982), 291–330 | DOI | MR

[11] Dmitriev V. I., Krein S. G., Ovchinnikov V. I., “Osnovy teorii interpolyatsii operatorov”, Geometriya lineinykh prostranstv i teoriya operatorov, 1977, 31–74 | MR | Zbl

[12] Novikov S. Ya., “Kotip i tip funktsionalnykh prostranstv Lorentsa”, Matem. zametki, 32:2 (1982), 213–221 | MR | Zbl

[13] Lindenstrauss J., Tzafriri L., Classical Banach Spaces. II. Function Spaces, Springer, Berlin–Heidelberg–New York, 1979 | MR | Zbl

[14] Bukhvalov A. V., Lozanovskii G. Ya., “Predstavleniya lineinykh funktsionalov i operatorov na vektornykh reshetkakh i nekotorye prilozheniya etikh predstavlenii”, Teoriya operatorov v funktsionalnykh prostranstvakh, Novosibirsk, 1977, 71–98 | MR

[15] Calderon A. P., “Spaces between $L_1$ and $L_{\infty}$ and the theorem of Marcinkiewicz”, Studia Math., 26 (1966), 273–299 | MR | Zbl

[16] Novikov I. Ya., “Posledovatelnosti kharakteristicheskikh funktsii v simmetrichnykh prostranstvakh”, Sib. mat. zhurn., 24:2 (1983), 193–196 | MR | Zbl

[17] Maurey B., “Theoremes de factorisation pour les operateurs lineares a valeurs dans les espaces $L^p$”, Asterisque, 1974, no. 11 | MR

[18] Nikishin E. M., “O sistemakh skhodimosti po mere dlya $l_2$”, Matem. zametki, 13:3 (1973), 337–340 | Zbl