Every bounded linear operator S from Lip0(M) to Lip0(N) admits a lifting to an operator on C(βM̃) to C(βÑ) with norm at most ||S|| + ε that agrees with S on the De Leeuw embeddings of the functions.
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A lifting theorem for operators on spaces of Lipschitz functions
Every bounded linear operator S from Lip0(M) to Lip0(N) admits a lifting to an operator on C(βM̃) to C(βÑ) with norm at most ||S|| + ε that agrees with S on the De Leeuw embeddings of the functions.