Condensation principles with rates
Conditionality constants of quasi-greedy bases in super-reflexive Banach spaces
We show that in a super-reflexive Banach space, the conditionality constants of a quasi-greedy basis ℬ grow at most like for some 0 < ε < 1. This extends results by the third-named author and Wojtaszczyk (2014), where this property was shown for quasi-greedy bases in for 1 < p < ∞. We also give an example of a quasi-greedy basis ℬ in a reflexive Banach space with .
Conjuntos estrictamente aproximadamente compactos en un espacio normado.
Constructive function theory and spline systems
Continous Norms on Locally Convex Strict Inductive Limit Spaces.
Continuous Position and Existence Sets.
Convergence of approximation processes on convex cones.
Convergence of greedy approximation II. The trigonometric system
We study the following nonlinear method of approximation by trigonometric polynomials. For a periodic function f we take as an approximant a trigonometric polynomial of the form , where is a set of cardinality m containing the indices of the m largest (in absolute value) Fourier coefficients f̂(k) of the function f. Note that Gₘ(f) gives the best m-term approximant in the L₂-norm, and therefore, for each f ∈ L₂, ||f-Gₘ(f)||₂ → 0 as m → ∞. It is known from previous results that in the case of...
Convergence of the dual greedy algorithm in Banach spaces.
Convergence theorems for generalized projections and maximal monotone operators in Banach spaces.
Corrigendum on "Semigroup-theoretical proofs of the central limit theorem and other theorems of analysis.
Corrigendum to "The Existence and Unicity of Best Approximations".
Criteria for membership of the Besov spaces BS pq.