Abstract
We show that the c 0-product (X ⊕ X ⊕ ... ⊕ X ⊕ ...)0 of a natural quasi-Banach space X with strongly absolute unconditional basis has a unique unconditional basis up to permutation. Our results apply to a wide range of cases, including most of the c 0-products of the nonlocally convex classical quasi-Banach spaces.
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