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Tensor product mappings. II. (English) Zbl 0275.47012

MSC:
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
46M05 Tensor products in functional analysis
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References:
[1] Alexandre Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. No. 16 (1955), 140 (French). · Zbl 0064.35501
[2] A. Grothendieck, Résumé de la théorie métrique des produits tensoriels topologiques, Bol. Soc. Mat. São Paulo 8 (1953), 1 – 79 (French).
[3] A. Grothendieck, Une caractérisation vectorielle-métrique des espaces \?\textonesuperior , Canad. J. Math. 7 (1955), 552 – 561 (French). · Zbl 0065.34503 · doi:10.4153/CJM-1955-060-6 · doi.org
[4] J. R. Holub, Tensor product mappings, Math. Ann. 188 (1970), 1 – 12. · Zbl 0195.41601 · doi:10.1007/BF01435409 · doi.org
[5] Joram Lindenstrauss, Extension of compact operators, Mem. Amer. Math. Soc. No. 48 (1964), 112. · Zbl 0141.12001
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[7] A. Pietsch, Absolut \?-summierende Abbildungen in normierten Räumen, Studia Math. 28 (1966/1967), 333 – 353 (German). · Zbl 0156.37903
[8] Albrecht Pietsch, Quasinukleare Abbildungen in normierten Räumen, Math. Ann. 165 (1966), 76 – 90 (German). · Zbl 0171.12101 · doi:10.1007/BF01351669 · doi.org
[9] Arne Persson and Albrecht Pietsch, \?-nukleare une \?-integrale Abbildungen in Banachräumen, Studia Math. 33 (1969), 19 – 62 (German). · Zbl 0189.43602
[10] C. P. Stegall and J. R. Retherford, Fully nuclear and completely nuclear operators with applications to \cal\?\(_{1}\)- and \cal\?_\infty -spaces, Trans. Amer. Math. Soc. 163 (1972), 457 – 492. · Zbl 0205.43003
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