×

Applications p-decomposantes et p-absolument sommantes. (French) Zbl 0241.47016


MSC:

47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] J. Amemiya et S. Koji,On tensor products of Banach spaces, Kodai Math. Sem. Rep.19 (1957), 161–176. · Zbl 0079.32404 · doi:10.2996/kmj/1138843934
[2] A. Badrikian,Sur quelques questions de la théorie des processus, C. R. Acad. Sci., Paris,265 (1967), 662–664. · Zbl 0167.46401
[3] N. Bourbaki,Intégration, chap. 6, Hermann 1959.
[4] S. Chevet,Sur certains produits tensoriels d’espaces de Banach, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete11 (1969), 120–138. · Zbl 0177.16101 · doi:10.1007/BF00531813
[5] A. Grothendieck,Résumé de la théorie métrique des produits tensoriels topologiques, Bol. Soc. Mat. Sâo Paulo8 (1956), 1–79.
[6] A Grothendieck,Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. (1955). · Zbl 0064.35501
[7] S. Kakutani,Concrete representation of Abstract L Spaces and the mean ergodic theorem, Ann. of Math.42 (1941), 523–537. · Zbl 0027.11102 · doi:10.2307/1968915
[8] S. Kakutani,Concrete representation of abstract M spaces, Ann. of Math.42 (1941), 994–1024. · Zbl 0060.26604 · doi:10.2307/1968778
[9] S. Kwapien,On a theorem of L. Schwartz and its aplications to absolutely summing operators, Studia Math.38 (1970), 193–201.
[10] J. Lindenstrauss and A. Pelczynski,Absolutely summing operators in P spaces and applications, Studia Math.29 (1968), 275–236.
[11] J. Lindenstrauss and H. Rosenthal,The P spaces, Israel J. Math.7 (1969), 325–349. · Zbl 0205.12602 · doi:10.1007/BF02788865
[12] A. Persson,On some properties of p nuclear and p integral operators, Studia Math.33 (1969), 213–222. · Zbl 0184.17903
[13] A. Pietsch,Absolute p summierend Abbildungen in normierten Raumen, Studia Math.28 (1967), 333–353. · Zbl 0156.37903
[14] A. Pietsch and A. Persson,p nuklear and p integrale Abbildungen in Banachraumen, Studia Math.33 (1969), 19–62.
[15] P. Saphar,Produits tensoriels topologiques et classes d’applications linéaires, C. R. Acad. Sci., Paris266 (1968), 526–528. · Zbl 0172.39804
[16] P. Saphar,Comparaisons de normes sur des produits tensoriels d’espaces de Banach. Applications, C. R. Sci., Paris266 (1968), 809–811. · Zbl 0172.39901
[17] P. Saphar,Quelques propriétés des normes tensorielles g k et dk’C. R. Acad. Sci., Paris268 (1969), 528–531. · Zbl 0175.41803
[18] P. Saphar,Applications p sommantes et p décomposantes, C. R. Acad. Sci., Paris270 (1970), 1093–1096. · Zbl 0247.47017
[19] P. Saphar,Produits tensoriels d’espaces de Banach et classes d’applications linéaires, Studia Math.,38 (1970), 71–100. · Zbl 0213.14201
[20] L. Schwartz,Séminaire de l’école Polytechnique 1969–1970, Paris, 1970.
[21] L. Schwartz,Un threme de dualité pour les applications radonifiantes, C. R. Acad. Sci., Paris268 (1969), 1410–1413. · Zbl 0181.43402
[22] Zygmund,Trigonometric series, t. 1. · Zbl 0005.06303
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.