A note on p-nuclear operators

• Autores: Cándido Piñeiro Gómez
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 47, Fasc. 3, 1996, págs. 269-275
• Idioma: inglés
• Enlaces
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• Resumen

  • Let $X$ be a Banach space and let $1\leq r < +\infty$. We prove that $X^\ast $ is isomorphic to a subspace of an $L^r(\mu)$-space if and only if the operator $(\alpha_n)\in\ell_r\rightarrow\sum \alpha_n x_n\in X$ is $s$-nuclear $(1/r + 1/s = 1)$ whenever $\sum\parallel x_n\parallel^s < +\infty$.

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