Geodesic
Isometric Characterizations of lnp Spaces
Canadian journal of mathematics, Tome 46 (1994) no. 3, pp. 574-585

Voir la notice de l'article provenant de la source Cambridge University Press

The paper establishes some characterizations of spaces in terms of p-summing or p-nuclear norms of the identity operator on the given space E.In particular, for an n-dimensional Banach space E and I ≤ p < 2, E is isometric to if and only if πp(E*) ≥ n 1/p and E* has cotype p' with the constant one.Furthermore, spaces are characterized by inequalities for p-summing norms of operators related to the John's ellipsoid of maximal volume contained in the unit ball of E.
DOI : 10.4153/CJM-1994-030-x
Mots-clés : 46B04, 46B15 
Komorowski, Ryszard. Isometric Characterizations of lnp Spaces. Canadian journal of mathematics, Tome 46 (1994) no. 3, pp. 574-585. doi: 10.4153/CJM-1994-030-x
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