José L. Ansorena

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20152025

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4 papers · 1 filter

math.FA2025

On the basic sequence structure of variable exponent Lebesgue spaces

José L. Ansorena, Glenier Bello

We study the subsymmetric basic sequence structure of variable exponent Lebesgue spaces $L_{P}$ built from index functions $P : Ω \to (0, \infty]$ on $σ$ -finite measure spaces $(Ω,…

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…

math.FA2015

Characterization of 1-quasi-greedy bases

Fernando Albiac, Jose L. Ansorena

We show that a (semi-normalized) basis in a Banach space is quasi-greedy with quasi-greedy constant equal to 1 if and only if it is unconditional with suppression-unconditional con…

On the basic sequence structure of variable exponent Lebesgue spaces

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

Democracy of quasi-greedy bases in p-Banach spaces with applications to the efficiency of the TGA in the Hardy spaces Hp​(Dd)

Characterization of 1-quasi-greedy bases

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