Matthieu F. Pinaud

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20242026

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math.FA2026

On $L^{p}$ -spaces of functions with values in locally convex spaces

Matthieu F. Pinaud, Humberto Prado

We study Lusin-measurable functions with values in locally convex spaces. In particular, the behavior of pointwise limits of sequences of Lusin-measurable functions and exhibit pat…

math.FA2024

Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups

Matthieu F. Pinaud

For $p \in [1, \infty]$ , we define a smooth manifold structure on the set $A C_{L^{p}} ([a, b], N)$ of absolutely continuous functions $γ : [a, b] \to N$ with $L^{p}$ -derivatives for all r…

On Lp-spaces of functions with values in locally convex spaces

Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups

On $L^{p}$ -spaces of functions with values in locally convex spaces