José Rodríguez

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math.FA2024

Dunford-Pettis type properties in $L_{1}$ of a vector measure

José Rodríguez

Let $ν$ be a countably additive vector measure defined on a $σ$ -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 $c_{0} (κ)$

José Rodríguez

Let $ν$ be a vector measure defined on a $σ$ -algebra $Σ$ and taking values in a Banach space. We prove that if $ν$ is homogeneous and $L_{1} (ν)$ is non-separable, then there is a vec…

math.FA2016

On $p$ -Dunford integrable functions with values in Banach spaces

J. M. Calabuig, J. Rodríguez, P. Rueda +1

Let $(Ω, Σ, μ)$ be a complete probability space, $X$ a Banach space and $1 \leq p < \infty$ . In this paper we discuss several aspects of $p$ -Dunford integrable functions $f : Ω \to X$ . Spe…

math.FA2016

A class of weakly compact sets in Lebesgue-Bochner spaces

José Rodríguez

Let $X$ be a Banach space and $μ$ a probability measure. A set $K \subseteq L^{1} (μ, X)$ is said to be a $δ S$ -set if it is uniformly integrable and for every $δ > 0$ there is…

Dunford-Pettis type properties in L1​ of a vector measure

On vector measures with values in c0​(κ)

On p-Dunford integrable functions with values in Banach spaces

A class of weakly compact sets in Lebesgue-Bochner spaces

Dunford-Pettis type properties in $L_{1}$ of a vector measure

On vector measures with values in $c_{0} (κ)$

On $p$ -Dunford integrable functions with values in Banach spaces