Projections and unconditional bases in direct sums of ℓp spaces, 0

Fernando Albiac and José Luis Ansorena

Mathematische Nachrichten, 2021, vol. 294, issue 11, 2052-2062

Abstract: We show that every unconditional basis in a finite direct sum ⨁p∈Aℓp, with A⊂(0,∞], splits into unconditional bases of each summand. This settles a 40 years old question raised in “A. Ortyński, Unconditional bases in ℓp⊕ℓq, 0

Date: 2021
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https://doi.org/10.1002/mana.201900537

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