Two sided norm estimate of the Bergman projection on spaces
We give some explicit values of the constants and in the inequality where denotes the norm of the Bergman projection on the space.
Typical sets and typical continuous functions
Uber Nichtlineare Kompakte Storungen von Kompakten Linearen Operatoren
Ultraproducts in Banach space theory.
Un résultat sur les fonctions de classe et application au problème de Cauchy
Nous montrons principalement que, si est une fonction différentiable sur un intervalle , si sa dérivée est höldérienne d’ordre avec et si (resp. quand (resp. alors , qui est absolument continue, admet (presque partout) une dérivée bornée presque partout.
Un théorème de convergence avec frontière
Uncountable sets of unit vectors that are separated by more than 1
Let X be a Banach space. We study the circumstances under which there exists an uncountable set 𝓐 ⊂ X of unit vectors such that ||x-y|| > 1 for any distinct x,y ∈ 𝓐. We prove that such a set exists if X is quasi-reflexive and non-separable; if X is additionally super-reflexive then one can have ||x-y|| ≥ slant 1 + ε for some ε > 0 that depends only on X. If K is a non-metrisable compact, Hausdorff space, then the unit sphere of X = C(K) also contains such a subset; if moreover K is perfectly...
Uniqueness of Hahn-Banach Extensions from Certain Spaces of Analytic Functions.
Uniqueness Theorems for Measures in Lr and C0 (...).
Valdivia compacta and subspaces of C(K) spaces.
Variations on the Banach-Stone theorem.
Volterra composition operators from spaces to Bloch-type spaces.
Weak conditions for interpolation in holomorphic spaces.
An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions, yields a necessary and sufficient condition for interpolation in Lp spaces of holomorphic functions of Paley-Wiener-type when 0 < p ≤ 1, of Fock-type when 0 < p ≤ 2, and of Bergman-type when 0 < p < ∞. Moreover, if a uniformly discrete sequence has a certain uniform non-uniqueness property with respect to any such Lp space (0 < p < ∞), then it is an interpolation...
Weak Convergence and Weak Convergence
In this article, we deal with weak convergence on sequences in real normed spaces, and weak* convergence on sequences in dual spaces of real normed spaces. In the first section, we proved some topological properties of dual spaces of real normed spaces. We used these theorems for proofs of Section 3. In Section 2, we defined weak convergence and weak* convergence, and proved some properties. By RNS_Real Mizar functor, real normed spaces as real number spaces already defined in the article [18],...
Weak Convergence of Measures.
Weak uniform continuity and weak sequential continuity of continuous n-linear mappings between Banach spaces.
In this paper it is shown that the class LnWU (E1,E2,...,En;F) of weakly uniformly continuous n-linear mappings from E1x E2x...x En to F on bounded sets coincides with the class LnWSC (E1,E2,...,En;F) of weakly sequentially continuous n-linear mappings if and only if for every Banach space F, each Banach space Ei for i = 1,2,...,n does not contain a copy of l1.
Weakly compact composition operators on analytic vector-valued function spaces.
Weak-star density of polynomials.
Weighted composition operators from to the Bloch space on the polydisc.
Weighted composition operators on weighted Bergman spaces of infinite order with the closed range property