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COMPLEMENTED COPIES OF [ell ]2 IN SPACES OF INTEGRAL OPERATORS
Published online by Cambridge University Press: 27 July 2005
Abstract
It is shown that, if $E$ and $F$ are Banach spaces containing complemented copies of $\ell_1$, then the space of integral operators ${\mathcal I}(E,F^*)\equiv (E\otimes_\eps F)^*$ contains a complemented copy of $\ell_2$. This answers a question of Félix Cabello and Ricardo García.
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- Research Article
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- 2005 Glasgow Mathematical Journal Trust
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