Geodesic
(n + 1)-TENSOR NORMS OF LAPRESTÉ'S TYPE
Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 665-692

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DOI

We study an (n + 1)-tensor norm αr extending to (n + 1)-fold tensor products, the classical one of Lapresté in the case n = 1. We characterise the maps of the minimal and the maximal multi-linear operator ideals related to αr in the sense of Defant and Floret (A. Defant and K. Floret, Tensor norms and operator ideals, North Holland Mathematical Studies, no. 176 (North Holland, Amsterdam, Netherlands, 1993). As an application we give a complete description of the reflexivity of the αr-tensor product (⊗j = 1n + 1 luj, αr).
DOI : 10.1017/S0017089512000286
Mots-clés : Primary 46M05, 46A32 
MOLINA, J. A. LÓPEZ. (n + 1)-TENSOR NORMS OF LAPRESTÉ'S TYPE. Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 665-692. doi: 10.1017/S0017089512000286
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     author = {MOLINA, J. A. L\'OPEZ},
     title = {(n + {1)-TENSOR} {NORMS} {OF} {LAPREST\'E'S} {TYPE}},
     journal = {Glasgow mathematical journal},
     pages = {665--692},
     year = {2012},
     volume = {54},
     number = {3},
     doi = {10.1017/S0017089512000286},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000286/}
}
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