Quasi-complements in F-spaces
Que sont les facteurs directs des espaces de Banach classiques ?
Quelques aspects de la théorie des points fixes dans les espaces de Banach - II
Quelques aspects de la théorie des points fixes dans les espaces de Banach - I
Quelques exemples d'application du transport de mesure en géométrie euclidienne et riemannienne
Quelques propriétés de l'espace des opérateurs compacts
Quelques propriétés des espaces de Banach stables
Quelques propriétés des modèles étalés sur les espaces de Banach
Quelques remarques sur la propriété (C) des espaces de Banach
Quotients and interpolation spaces of stable Banach spaces
Quotients of L1 by reflexive subspaces.
Here we present and example and some results suggesting that there is no infinite-dimensional reflexive subspace Z of L1 ≡ L1[0,1] such that the quotient L1/Z is isomorphic to a subspace of L1.
Rademacher functions in weighted Cesàro spaces
We study the behaviour of the Rademacher functions in the weighted Cesàro spaces Ces(ω,p), for ω(x) a weight and 1 ≤ p ≤ ∞. In particular, the case when the Rademacher functions generate in Ces(ω,p) a closed linear subspace isomorphic to ℓ² is considered.
Rademacher variables in connection with complex scalars.
Radon spaces which are not -fragmentable
Random fixed points for a certain class of asymptotically regular mappings
Let (Ω, σ) be a measurable space and K a nonempty bounded closed convex separable subset of a p-uniformly convex Banach space E for p > 1. We prove a random fixed point theorem for a class of mappings T:Ω×K ∪ K satisfying the condition: For each x, y ∈ K, ω ∈ Ω and integer n ≥ 1, ⃦Tⁿ(ω,x) - Tⁿ(ω,y) ⃦ ≤ aₙ(ω)· ⃦x - y ⃦ + bₙ(ω) ⃦x -Tⁿ(ω,x) ⃦ + ⃦y - Tⁿ(ω,y) ⃦ + cₙ(ω) ⃦x - Tⁿ(ω,y) ⃦ + ⃦y - Tⁿ(ω,x) ⃦, where aₙ, bₙ, cₙ: Ω → [0, ∞) are functions satisfying certain conditions and Tⁿ(ω,x) is the value...
Randomness and pattern in convex geometric analysis.
Recognizing the topology of the space of closed convex subsets of a Banach space
Rectangular modulus and geometric properties of normed spaces.
Rectangular modulus, Birkhoff orthogonality and characterizations of inner product spaces
Some characterizations of inner product spaces in terms of Birkhoff orthogonality are given. In this connection we define the rectangular modulus of the normed space . The values of the rectangular modulus at some noteworthy points are well-known constants of . Characterizations (involving of inner product spaces of dimension , respectively , are given and the behaviour of is studied.
Reflexive Orlicz spaces have uniformly normal structure
We prove that an Orlicz space equipped with the Luxemburg norm has uniformly normal structure if and only if it is reflexive.