17 citations · 43 across the 38 of their papers we have counts for
5 papers · 1 filter
Using the Baire Category Theorem to Explore Lions Problem for Quasi-Banach Spaces
A. G. Aksoy, J. M. Almira
Many results for Banach spaces also hold for quasi-Banach spaces. One important such example is results depending on the Baire Category Theorem (BCT). We use the BCT to explore Lio…
On slow decay of Peetre's K-functional
J. M. Almira, P. Fernández-Martínez
We characterize when Peetre's K-functional decays to zero slowly and we use this characterization to demonstrate certain strict inclusions between real interpolation spaces.
Characterization of Classes of Polynomial Functions
J. M. Almira, L. Székelyhidi
In this paper some classes of local polynomial functions on abelian groups are characterized by the properties of their variety. For this characterization we introduce a numerical…
Local polynomials and the Montel Theorem
J. M. Almira, L. Székelyhidi
In this paper local polynomials on Abelian groups are characterized by a "local" Fréchet-type functional equation. We apply our result to generalize Montel's Theorem and to obtain…
Montel's Theorem and subspaces of distributions which are -invariant
J. M. Almira
We study the finite dimensional spaces which are invariant under the action of the finite differences operator . Concretely, we prove that if is such an space, there…