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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 built from index functions on -finite measure spaces $(Ω,…
math.FA2025
Resolvent estimates for a function of a linear operator
Glenier Bello, Dmitry Yakubovich
Let be a bounded linear operator on a Banach space and an analytic function, defined on the spectrum of . We study the relations between the rate of growth of the resolv…
math.FA2025
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…