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Uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces

Uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces

Abstract This paper is devoted to providing a unifying approach to the study of the uniqueness of unconditional bases, up to equivalence and permutation, of infinite direct sums of quasi-Banach spaces. Our new approach to this type of problem permits to show that a wide class of vector-valued sequence spaces …