Glenier Bello

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20242026

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math.FA2025

On the basic sequence structure of variable exponent Lebesgue spaces

JosÃ© L. Ansorena, Glenier Bello

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

math.FA2025

Mutually non isomorphic mixed-norm Lebesgue spaces

JosÃ© L. Ansorena, Glenier Bello

We prove that for $1 \leq p, q \leq \infty$ the mixed-norm spaces $L_{q} (L_{p})$ are mutually non-isomorphic, with the only exception that $L_{q} (L_{2})$ is isomorphic to $L_{q} (L_{q})$ for all $1<q…

math.FA2025

Resolvent estimates for a function of a linear operator

Glenier Bello, Dmitry Yakubovich

Let $T$ be a bounded linear operator on a Banach space and $f$ an analytic function, defined on the spectrum of $T$ . We study the relations between the rate of growth of the resolv…

math.FA2025

Embeddability of $ℓ_{p}$ -spaces into mixed-norm Lebesgue spaces in connection with the validity of vector-valued extensions of the Riesz--Fischer Theorem

The aim of this paper is twofold. On the one hand, we compute, in terms of $r$ and $s$ , the indices $p$ for which $ℓ_{p}$ isomorphically embeds into the mixed-norm separable space…

math.FA2024

Unconditional basic sequences in function spaces with applications to Orlicz spaces

We find conditions on a function space $L$ that ensure that it behaves as an $L_{p}$ -space in the sense that any unconditional basis of a complemented subspace of $L$ eithe…

On the basic sequence structure of variable exponent Lebesgue spaces

Mutually non isomorphic mixed-norm Lebesgue spaces

Resolvent estimates for a function of a linear operator

Embeddability of ℓp​-spaces into mixed-norm Lebesgue spaces in connection with the validity of vector-valued extensions of the Riesz--Fischer Theorem

Unconditional basic sequences in function spaces with applications to Orlicz spaces

Embeddability of $ℓ_{p}$ -spaces into mixed-norm Lebesgue spaces in connection with the validity of vector-valued extensions of the Riesz--Fischer Theorem