Maps which preserve norms of non-symmetrical quotients between groups of exponentials of Lipschitz functions
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2014-02-10Resumen
Let \Phi:exp Lip(X) → exp Lip(Y) be a surjective mapping where X and Y are compact metric spaces. We describe the form of two types of maps \Phi: those which satisfy the non-symmetric-quotient norm condition for the uniform norm, and those which verify the non-symmetric-quotient norm condition for the Lipschitz algebra norm.
Palabra/s clave
Lipschitz algebra
Peaking function
Algebra isomorphism
Isometric isomorphism