Une caractérisation des sous espaces de et ses applications
(Annexe n°1) Analyse mathématique : applications -sommantes et -décomposantes
Sur les sous-espaces des espaces de Banach à base inconditionnelle, d'après Feder
Unconditional ideals in Banach spaces
We show that a Banach space with separable dual can be renormed to satisfy hereditarily an “almost” optimal uniform smoothness condition. The optimal condition occurs when the canonical decomposition is unconditional. Motivated by this result, we define a subspace X of a Banach space Y to be an h-ideal (resp. a u-ideal) if there is an hermitian projection P (resp. a projection P with ∥I-2P∥ = 1) on Y* with kernel . We undertake a general study of h-ideals and u-ideals. For example we show that...
Unsolved Problems
1. The operator ideals and measures in linear spaces 469-472 2. Schauder bases and linear topological invariants 473-478 3. Various problems 479-483
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