José L. Ansorena

activity

20152024

most citedIsomorphisms between vector-valued

H_{p}

-spaces for

0 < p \leq 1

and uniqueness of unconditional structure

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.FA2024

Conditional bases with Property~(A)

Fernando Albiac, Jose L. Ansorena, Pablo Berná +1

Property~(A) is a week symmetry condition that plays a fundamental role in the characterization of greedy-type bases in the isometric case, i.e., when the constants involved in the…

math.FA2024★ 1 cited

Isomorphisms between vector-valued $H_{p}$ -spaces for $0 < p \leq 1$ and uniqueness of unconditional structure

Fernando Albiac, Jose L. Ansorena

The aim of this paper is twofold. On the one hand, we manage to identify Banach-valued Hardy spaces of analytic functions over the disc $D$ with other classes of Hardy spa…

math.FA2023

Linear versus nonlinear forms of partial unconditionality of bases

Fernando Albiac, Jose L. Ansorena, Miguel Berasategui

The main results in this paper contribute to bring to the fore novel underlying connections between the contemporary concepts and methods springing from greedy approximation theory…

math.FA2023

Counterexamples in isometric theory of symmetric and greedy bases

Fernando Albiac, Jose L. Ansorena, Oscar Blasco +2

We continue the study initiated in [F. Albiac and P. Wojtaszczyk, Characterization of $1$ -greedy bases, J. Approx. Theory 138 (2006), no. 1, 65-86] of properties related to greedy…

math.FA2022

Existence of almost greedy bases in mixed-norm sequence and matrix spaces, including Besov spaces

Fernando Albiac, José L. Ansorena, Glenier Bello +1

We prove that the sequence spaces $ℓ_{p} \oplus ℓ_{q}$ and the spaces of infinite matrices $ℓ_{p} (ℓ_{q})$ , $ℓ_{q} (ℓ_{p})$ and $(⨁_{n = 1}^{\infty} ℓ_{p}^{n})_{ℓ_{q}}$ , whic…

math.FA2022

Democracy of quasi-greedy bases in $p$ -Banach spaces with applications to the efficiency of the TGA in the Hardy spaces $H_{p} (D^{d})$

Fernando Albiac, José L. Ansorena, Glenier Bello

We use new methods, specific of non-locally convex quasi-Banach spaces, to investigate when the quasi-greedy bases of a $p$ -Banach space for $0 < p < 1$ are democratic. The novel techn…