@incollection{MSMF_1972__31-32__285_0,
author = {Pietsch, Albrecht},
title = {Absolutely $p$-summing operators in ${\mathcal {L}}_r$-spaces},
booktitle = {Colloque d'analyse fonctionnelle (Bordeaux, 1971)},
series = {Bulletin de la Soci\'et\'e math\'ematique de France. M\'emoire},
pages = {285--315},
year = {1972},
publisher = {Soci\'et\'e math\'ematique de France},
number = {31-32},
doi = {10.24033/msmf.94},
mrnumber = {51 #13743},
zbl = {0244.47020},
url = {https://www.numdam.org/articles/10.24033/msmf.94/}
}
TY - CHAP
AU - Pietsch, Albrecht
TI - Absolutely $p$-summing operators in ${\mathcal {L}}_r$-spaces
BT - Colloque d'analyse fonctionnelle (Bordeaux, 1971)
AU - Collectif
T3 - Bulletin de la Société mathématique de France. Mémoire
PY - 1972
SP - 285
EP - 315
IS - 31-32
PB - Société mathématique de France
UR - https://www.numdam.org/articles/10.24033/msmf.94/
DO - 10.24033/msmf.94
ID - MSMF_1972__31-32__285_0
ER -
%0 Book Section
%A Pietsch, Albrecht
%T Absolutely $p$-summing operators in ${\mathcal {L}}_r$-spaces
%B Colloque d'analyse fonctionnelle (Bordeaux, 1971)
%A Collectif
%S Bulletin de la Société mathématique de France. Mémoire
%D 1972
%P 285-315
%N 31-32
%I Société mathématique de France
%U https://www.numdam.org/articles/10.24033/msmf.94/
%R 10.24033/msmf.94
%F MSMF_1972__31-32__285_0
Pietsch, Albrecht. Absolutely $p$-summing operators in ${\mathcal {L}}_r$-spaces, dans Colloque d'analyse fonctionnelle (Bordeaux, 1971), Bulletin de la Société mathématique de France. Mémoire, no. 31-32 (1972), pp. 285-315. doi: 10.24033/msmf.94
[1] , et : Lois stables et espaces Lp, Ann. Inst. Henri Poincaré B, 2 (1966) 231-259. | Zbl | MR | Numdam
[2] : Absolutely p-summing, p-nuclear operators and their conjugates, Dissertation, Maryland 1969.
[3] : Absolutely p-summing operators in Hilbert spaces, Studia Math. 38 (1970) 319-331. | Zbl | MR
[4] and : Limit distributions for sums of independent random variables, Cambridge Mass. 1954. | Zbl | MR
[5] : Résumé de la théorie métrique des produits tensoriels topologiques, Boletim Soc. Mat. Sao Paulo 8 (1956) 1-79. | Zbl | MR
[6] : A remark on p-absolutely summing operators in lr-spaces, Studia Math. 34 (1970) 109-111. | Zbl | MR
[7] : On a theorem of L. Schwartz and its applications to absolutely summing operators, Studia Math. 38 (1970) 193-201. | Zbl | MR
[8] and : Absolutely summing operators in Lp-spaces and their applications, Studia Math. 29 (1968) 275-326. | Zbl | MR
[9] : A characterization of Hilbert-Schmidt operators, Studia Math. 28 (1967) 355-360. | Zbl | MR
[10] and : p-nukleare und p-integrale Abbildungen in Bana räumen, Studia Math. 33 (1969) 19-62. | Zbl | MR
[11] : Absolut-p-summierende Abbildungen in normierten Räumen, Studia Math. 28 (1967) 333-353. | Zbl | MR
[12] : Applications p-sommantes et p-décomposantes, C.R. Acad. Sc. Paris 270 A (1970) 1093-1096. | Zbl | MR
[13] : C.R. Acad. Sc. Paris 268 A (1969) 1410-1413, 1612-1615. | Zbl | MR
[14] : Applications radonifiantes, Séminaire d'Analyse de l'Ecole Polytechnique, Paris 1969-1970.
[15] : Applications p-radonifiantes et théorème de dualité, Studia Math. 38 (1970) 203-213. | Zbl | MR
[16] and : Relations between some constants associated with finite dimensional Banach spaces, Israel J. Math. 9 (1971) 346-361. | Zbl | MR
[17] : On the projection and Macphail constants of 1pn-spaces, Israel J. Math. 6 (1968) 295-302. | Zbl | MR
[18] : On p-absolutely summing constants of Banach spaces, Israel J. Math. 7 (1969) 151-163. | Zbl | MR
[19] : Projections constants, Trans. Amer. Math. Soc. 95 (1960) 451-465. | Zbl | MR
[20] : On bounded bilinear forms in an infinite numbers of variables, Quart. J. Math. (Oxford) 1 (1930) 164-174. | JFM
[21] : p-integral operators commuting with group representations and examples of quasi-p-integral operators which are not p-integral, Studia Math. 33 (1969) 19-62. | Zbl | MR
[22] : Some parameters associated with finite dimensional Banach spaces, J. London Math. Soc. 40 (1965) 241-255. | Zbl | MR
[23] : C.R. Acad. Sc. Paris 266 A (1968) 526-528, 809-811 ; 268 A (1969) 528-531. | Zbl
[24] : Produits tensoriels d'espaces de Banach et classes d'applications linéaires, Studia Math. 38 (1970) 71-100. | Zbl | MR
[25] : Measures cylindriques et applications radonifiantes dans les espaces de suites, Proc. Int. Conf. Funct. Analysis and Rel. Topics, Tokyo 1969. | Zbl
[26] : Diagonal nuclear operators in lp spaces, Trans. Amer. Math. Soc. 143 (1969) 235-247. | Zbl | MR
Cité par Sources :







