Abelian ergodic theorems for contraction semigroups
About a non-homogeneous Hardy-inequality and its relation with the spectrum of Dirac operators
A non-homogeneous Hardy-like inequality has recently been found to be closely related to the knowledge of the lowest eigenvalue of a large class of Dirac operators in the gap of their continuous spectrum.
About an example of a Banach space not weaky K-analytic.
About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system.
About projections of logarithmic Sobolev inequalities
Absolute bases, tensor products and a theorem of Bohr
Absolute continuity of the Sobolev type functions on metric spaces.
Absolutely continuous linear operators on Köthe-Bochner spaces
Let E be a Banach function space over a finite and atomless measure space (Ω,Σ,μ) and let and be real Banach spaces. A linear operator T acting from the Köthe-Bochner space E(X) to Y is said to be absolutely continuous if whenever μ(Aₙ) → 0, (Aₙ) ⊂ Σ. In this paper we examine absolutely continuous operators from E(X) to Y. Moreover, we establish relationships between different classes of linear operators from E(X) to Y.
Absolutely (∞,p) summing and weakly-p-compact operators in C(K).
In this note we review some results about:1. Representation of Absolutely (∞,p) summing operators (∏∞,p) in C(K,E)2. Dunford-Pettis properties.
Abstract characterization of Orlicz-Kantorovich lattices associated with an -valued measure
An abstract characterization of Orlicz-Kantorovich lattices constructed by a measure with values in the ring of measurable functions is presented.
Abstract Korovkin-type theorems in modular spaces and applications
We prove some versions of abstract Korovkin-type theorems in modular function spaces, with respect to filter convergence for linear positive operators, by considering several kinds of test functions. We give some results with respect to an axiomatic convergence, including almost convergence. An extension to non positive operators is also studied. Finally, we give some examples and applications to moment and bivariate Kantorovich-type operators, showing that our results are proper extensions of the...
Adams inequality on metric measure spaces.
Adaptive Deterministic Dyadic Grids on Spaces of Homogeneous Type
In the context of spaces of homogeneous type, we develop a method to deterministically construct dyadic grids, specifically adapted to a given combinatorial situation. This method is used to estimate vector-valued operators rearranging martingale difference sequences such as the Haar system.
Addendum to “Curves of maximum modulus in coherent state representations”
Addendum to "Lineability and spaceability of vector-measure spaces" (Studia Math. 219 (2013), 155-161)
Addendum to: "Linear operations, tensor products, and contractive projections in function spaces" (Studia Math. 38 (1970), pp. 131-186)
Addendum to "Necessary condition for Kostyuchenko type systems to be a basis in Lebesgue spaces" (Colloq. Math. 127 (2012), 105-109)
It is well known that if φ(t) ≡ t, then the system is not a Schauder basis in L₂[0,1]. It is natural to ask whether there is a function φ for which the power system is a basis in some Lebesgue space . The aim of this short note is to show that the answer to this question is negative.
Addendum to "On Some Space of Vector Valued Sequences".
Addendum to the paper "On isomorphisms of anisotropic Sobolev spaces with "classical Banach spaces" and a Sobolev type embedding theorem"
Adhérence faible étoile d'algèbres de fractions rationnelles
Étant donnés un compact du plan complexe, et une mesure non nulle sur , on étudie , l’adhérence dans , pour la topologie , de l’algèbre des fractions rationnelles d’une variable complexe, à pôles hors de . Le résultat principal obtenu est qu’il existe un sous-ensemble de , éventuellement vide, mesurable pour la mesure de Lebesgue plane, et une mesure , éventuellement nulle, absolument continue par rapport à la mesure , tels que : soit isométriquement isomorphe à , où désigne la...