Uniqueness of unconditional basis of and , 0 < p < 1
F. Albiac, C. Leránoz (2002)
Studia Mathematica
Similarity:
We prove that the quasi-Banach spaces and (0 < p < 1) have a unique unconditional basis up to permutation. Bourgain, Casazza, Lindenstrauss and Tzafriri have previously proved that the same is true for the respective Banach envelopes and ℓ₁(ℓ₂). They used duality techniques which are not available in the non-locally convex case.