Title

Hermitian operators on banach algebras of lipschitz functions

Abstract

For compact metric spaces (X, d), we show that the Lipschitz spaces Lip(X, d) and the little Lipschitz spaces lip(X, dα) with 0 < α < 1, equipped with the sum norm, support only trivial hermitian operators, that is, real multiples of the identity operator.

Publication Title

Proceedings of the American Mathematical Society

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