A. Jiménez-Vargas

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math.FA2025

Lipschitz interpolating sequences

A. JimÃ©nez-Vargas, Abraham Rueda Zoca

Let $X$ be a metric space with a base point $0$ , and let $Lip_{0} (X)$ be the Banach space of all Lipschitz functions $f : X ⟶ R$ such that $f (0) = 0$ . Given…

math.FA2025

Surjective isometries on function spaces with derivatives

Let $A$ be a complex Banach space with a norm $∥ f ∥ = ∥ f ∥_{X} + ∥ d (f) ∥_{Y}$ for $f \in A$ , where $d$ is a complex linear map from $A$ onto a Banach space $B$ , and $∥ \cdot ∥_{K}$ represe…