Projections and averages of isometries on Lipschitz spaces

Authors

Fernanda Botelho, University of MemphisFollow
James Jamison, University of MemphisFollow
Antonio Jiménez-Vargas, Universidad de AlmeríaFollow

Abstract

We characterize projections on spaces of Lipschitz functions expressed as the average of two and three linear surjective isometries. Generalized bi-circular projections are the only projections on these spaces given as the convex combination of two surjective isometries. © 2011 Elsevier Inc.

Publication Title

Journal of Mathematical Analysis and Applications

Recommended Citation

Botelho, F., Jamison, J., & Jiménez-Vargas, A. (2012). Projections and averages of isometries on Lipschitz spaces. Journal of Mathematical Analysis and Applications, 386 (2), 910-920. https://doi.org/10.1016/j.jmaa.2011.08.047