Compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions
Subject Areas : Functional analysis
D. Alimohammadi
1
(Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran)
S. Sefidgar
2
(Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran)
Keywords: Compact operator, composition operator, Lipschitz function, spectrum of an operator, Lipschitz involution,
Abstract :
We characterize compact composition operators on real Banach spaces ofcomplex-valued bounded Lipschitz functions on metric spaces, not necessarily compact, withLipschitz involutions and determine their spectra.