Abstract
It is shown that for every space with an unconditional basis there exists a uniformly bounded sequence of projectionsP n;n=1, 2, ... whose ranges are uniformly isomorphic tol np ;n=1, 2, ... either forp=1, orp=2, or forp=∞.
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Tzafriri, L. On banach spaces with unconditional bases. Israel J. Math. 17, 84–93 (1974). https://doi.org/10.1007/BF02756829
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DOI: https://doi.org/10.1007/BF02756829