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20222026
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math.FA2026

On weak convergence in Köthe-Bochner function spaces

José Rodríguez

Let be an order continuous Köthe function space over a non purely atomic probability measure and let be a Banach space, with topological duals and , respecti…

math.FA2025

A Diestel-Faires type result for multimeasures

José Rodríguez

Let be a real Banach space and let be a linear subspace having the Orlicz-Thomas property, that is, for each -algebra and for each map , the…

math.FA2024

A note on summability in Banach spaces

José Rodríguez

Let and be Banach spaces. Suppose that is Asplund. Let be a bounded set of operators from to with the following property: a bounded sequence $(z_n…

math.FA2024

Dunford-Pettis type properties in of a vector measure

José Rodríguez

Let be a countably additive vector measure defined on a -algebra and taking values in a Banach space. In this paper we deal with the following three properties for the Banac…

math.FA2024

On vector measures with values in

José Rodríguez

Let be a vector measure defined on a -algebra and taking values in a Banach space. We prove that if is homogeneous and is non-separable, then there is a vec…

math.FA2022

Topological properties in tensor products of Banach spaces

Antonio Avilés, Gonzalo Martínez-Cervantes, José Rodríguez +1

Given two Banach spaces and , we analyze when the projective tensor product has Corson's property (C) or is weakly Lindelöf determined (WLD), subspac…