Is there a Banach space with an unconditional basis which contains an isomorphic copy of $\ell_p$ (for some $p\in (1,\infty)$) but such that no copy of $\ell_p$ is complemented?
Copies of $\ell_p$ in spaces with unconditional basis
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functional-analysis
banach-spaces
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0Do you have such an example for spaces without an unconditional basis? – 2012-10-04