Über nukleare -Räume mit Basis
Una caracterización del dual del ideal de los operadores absolutamente sumantes en espacios de Banach.
Unconditional and normalised bases
Unconditional convergence and the Vitali-Hahn-Saks theorem
Unconditional Toeplitz Sections in Sequence Spaces.
Uniform bases in locally convex spaces.
Uniqueness of unconditional bases of , 0 < p < 1
We prove that if 0 < p < 1 then a normalized unconditional basis of a complemented subspace of must be equivalent to a permutation of a subset of the canonical unit vector basis of . In particular, has unique unconditional basis up to permutation. Bourgain, Casazza, Lindenstrauss, and Tzafriri have previously proved the same result for .
Uniqueness of unconditional basis of and , 0 < p < 1
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.