We prove that the Lipschitz-free space over a Banach space X of density κ, denoted by F(X), is linearly isomorphic to its ℓ1-sum κ F(X) ℓ 1 . This provides an extension of a previous result from Kaufmann in the context of non-separable Banach spaces. Further, we obtain a complete classification of the spaces of real-valued Lipschitz functions that vanish at 0 over a Lp-space. More precisely, we establish that, for every 1 ≤ p ≤ ∞, if X is a Lp-space of density κ, then Lip 0 (X) is either isomorphic to Lip 0 (ℓp(κ)) if p < ∞, or Lip 0 (c0(κ)) if p = ∞.
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