Geodesic
On an inclusion between operator ideals
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 1, pp. 209-212

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Let $ 1\leq q $ and $1/r := 1/p \max (q/2, 1)$. We prove that ${\scr L}_{r,p}^{(c)}$, the ideal of operators of Geľfand type $l_{r,p}$, is contained in the ideal $\Pi _{p,q}$ of $(p,q)$-absolutely summing operators. For $q>2$ this generalizes a result of G. Bennett given for operators on a Hilbert space.
DOI : 10.1007/s10587-011-0007-0
Classification : 47B06, 47B10, 47L20
Keywords: operator ideals; $s$-numbers 
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Fugarolas, Manuel A. On an inclusion between operator ideals. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 1, pp. 209-212. doi: 10.1007/s10587-011-0007-0

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