26 citations · 79 across the 54 of their papers we have counts for
5 papers · 1 filter
When Greedy Approximation Breaks: Counterexamples in Quasi-Banach Spaces
Fernando Albiac, José L. Ansorena, Miguel Berasategui +1
We construct two counterexamples that resolve long-standing open problems on greedy approximation theory with respect to bases, posed in [F. Albiac et al., Dissertationes Math. 560…
On Banach envelopes and duals of Lipschitz-free -spaces for
Fernando Albiac, Jose L. Ansorena
With the aim to better understand the intricate geometry of the class of Lipschitz free -spaces when , in this note we study their Banach env…
Lipschitz free -spaces for in the light of the Schur -property and the compact reduction
Fernando Albiac, José L. Ansorena, Jan Bíma +1
The geometric analysis of non-locally convex quasi-Banach spaces presents rich and nuanced challenges. In this paper, we introduce the Schur -property and the strong Schur -p…
Embeddability of -spaces into mixed-norm Lebesgue spaces in connection with the validity of vector-valued extensions of the Riesz--Fischer Theorem
José L. Ansorena, Glenier Bello
The aim of this paper is twofold. On the one hand, we compute, in terms of and , the indices for which isomorphically embeds into the mixed-norm separable space…
A characterization of complete topological vector spaces with applications to spaces of measurable functions
José L. Ansorena, Alejandro Marcos
The aim of this paper is twofold. Firstly, we give easy-to-handle criteria to determine whether a given family of subsets of a vector space is a neighbourhood basis of the origin f…