Hermitian operators on banach algebras of lipschitz functions

Authors

Fernanda Botelho, University of MemphisFollow
James Jamison, University of MemphisFollow
A. Jiménez-Vargas, Universidad de AlmeríaFollow
Moisés Villegas-Vallecillos, Nuestra Universidad

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

Recommended Citation

Botelho, F., Jamison, J., Jiménez-Vargas, A., & Villegas-Vallecillos, M. (2014). Hermitian operators on banach algebras of lipschitz functions. Proceedings of the American Mathematical Society, 142 (10), 3469-3481. https://doi.org/10.1090/S0002-9939-2014-12048-X