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

2019/09/15 by Fernando Albiac, Albiac, Fernando, José L. Ansorena +1 · 1 citation
Mathematics · #46A16 (Primary) 46A35 #46A40 #46A45 #46B15 (Secondary) #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1909.06829

openalex publication_date 2019/09/15 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We show that every unconditional basis in a finite direct sum \bigoplus_{p∈ A} ℓ_p, with A⊂ (0,∞], splits into unconditional bases of each summand. This settles a 40 year old question raised in [A. Ortyński, Unconditional bases in ℓ_p⊕ℓ_q, 0

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