[List of] participants. Section of topology
Łojasiewicz ideals in Denjoy-Carleman classes
The classical notion of Łojasiewicz ideals of smooth functions is studied in the context of non-quasianalytic Denjoy-Carleman classes. In the case of principal ideals, we obtain a characterization of Łojasiewicz ideals in terms of properties of a generator. This characterization involves a certain type of estimates that differ from the usual Łojasiewicz inequality. We then show that basic properties of Łojasiewicz ideals in the case have a Denjoy-Carleman counterpart.
(Non-)amenability of ℬ(E)
In 1972, the late B. E. Johnson introduced the notion of an amenable Banach algebra and asked whether the Banach algebra ℬ(E) of all bounded linear operators on a Banach space E could ever be amenable if dim E = ∞. Somewhat surprisingly, this question was answered positively only very recently as a by-product of the Argyros-Haydon result that solves the “scalar plus compact problem”: there is an infinite-dimensional Banach space E, the dual of which is ℓ¹, such that . Still, ℬ(ℓ²) is not amenable,...
(p,q)-Convexity in quasi-Banach lattices and applications
(P)-sets, quasipolyhedra and stability
*-Representations, seminorms and structure properties of normed quasi *-algebras
The class of *-representations of a normed quasi *-algebra (𝔛,𝓐₀) is investigated, mainly for its relationship with the structure of (𝔛,𝓐₀). The starting point of this analysis is the construction of GNS-like *-representations of a quasi *-algebra (𝔛,𝓐₀) defined by invariant positive sesquilinear forms. The family of bounded invariant positive sesquilinear forms defines some seminorms (in some cases, C*-seminorms) that provide useful information on the structure of (𝔛,𝓐₀) and on the continuity...
�?tude de l'equation de Boltzmann du transport de neutrons - I
«Type» des espaces normés
(Ultra)distributions of Lp-growth as boundary values of holomorphic functions.
We study the representation of distributions (and ultradistributions of Beurling type) of Lp-growth, 1 ≤ p ≤ ∞, on RNas boundary values of holomorphic functions on (C R)N.
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We study smoothness spaces generated by maximal functions related to the local approximation errors of integral operators. It turns out that in certain cases these smoothness classes coincide with the spaces , 0 < p≤∞, introduced by DeVore and Sharpley [DS] by means of the so-called sharp maximal functions of Calderón and Scott. As an application we characterize the spaces in terms of the coefficients of wavelet decompositions.
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The aim is to investigate certain spectral properties, such as decomposability, the spectral mapping property and the Lyubich-Matsaev property, for linear differential operators with constant coefficients ( and more general Fourier multiplier operators) acting in . The criteria developed for such operators are quite general and p-dependent, i.e. they hold for a range of p in an interval about 2 (which is typically not (1,∞)). The main idea is to construct appropriate functional calculi: this is...
(Weakly) Compact Mappings into (F)-Spaces:
-derivations and their norm in projective tensor products of -Banach algebras.
αμ-duals and holomorphic (nuclear) mappings.
-closed graph theorem
-weak character amenability of certain Banach algebras
In this paper we investigate -weak character amenability of certain Banach algebras such as projective tensor product and Lau product , where and are two arbitrary Banach algebras and , the character space of . We also investigate -weak character amenability of abstract Segal algebras and module extension Banach algebras.
-approximation in generalized 2-normed spaces
εk-productos tensoriales y limites inductivos.
-Minkowski spacetimes and DSR algebras: fresh look and old problems.