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A short proof of the Arens-Eells embedding theorem

A short proof of the Arens-Eells embedding theorem

THE ARENS-EELLS EMBEDDING THEOREM 415 5. Proof of Example 1.4.If m were continuous, there would exist a compact K EX such that / sufficiently small on K implies (5.1) | [«(/)](y) | <1for all yE Y.However, for any such K there exists a yoG Y-p(K), and if we pick fEC(X, …