Problems concerning weak Asplund spaces
Product integral in a Fréchet algebra.
Products of n open subsets in the space of continuous functions on [0,1]
Let O₁,...,Oₙ be open sets in C[0,1], the space of real-valued continuous functions on [0,1]. The product O₁ ⋯ Oₙ will in general not be open, and in order to understand when this can happen we study the following problem: given f₁,..., fₙ ∈ C[0,1], when is it true that f₁ ⋯ fₙ lies in the interior of for all ε > 0 ? ( denotes the closed ball with radius ε and centre f.) The main result of this paper is a characterization in terms of the walk t ↦ γ(t): = (f₁(t),..., fₙ(t)) in ℝⁿ. It has to...
Produit tensoriel topologique des corps values.
Projections on Hardy spaces in the Lie ball.
On the Lie ball w of Cn, n ≥ 3, we prove that for all p ∈ [1,∞), p ≠ 2, the Hardy space Hp(w) is an uncomplemented subspace of the Lebesgue space Lp(∂0w, dσ), where ∂0w denotes the Shilov boundary of w and dσ is a normalized invariant measure of ∂0w.
Projective Lie Algebra Bases of a Locally Compact Group and Uniform Differentiability.
Projectivity of pure ideals
Proper uniform algebras are flat
In this brief note, we see that if is a proper uniform algebra on a compact Hausdorff space , then is flat.
Properties of derivations on some convolution algebras
For all convolution algebras L 1[0, 1); L loc1 and A(ω) = ∩n L 1(ωn), the derivations are of the form D μ f = Xf * μ for suitable measures μ, where (Xf)(t) = tf(t). We describe the (weakly) compact as well as the (weakly) Montel derivations on these algebras in terms of properties of the measure μ. Moreover, for all these algebras we show that the extension of D μ to a natural dual space is weak-star continuous.
Properties of function algebras in terms of their orthogonal measures
In the present note, we characterize the pervasive, analytic, integrity domain and the antisymmetric function algebras respectively, defined on a compact Hausdorff space , in terms of their orthogonal measures on .
Propriétés spectrales en analyse non archimédienne
Pseudo-Banach algebras
Pseudo-uniform Convexity in Hardy Spaces over Riemann Surfaces.
Pseudo-Uniform Convexity of the Hardy Class H on Riemann Surfaces.
Pure quasi-states and extremal quasi-measures.