Compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions

محورهای موضوعی : Functional analysis

D. Alimohammadi ¹ , S. Sefidgar ²

1 - Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran
2 - Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran

تاریخ دریافت : 1393/05/06 تاریخ پذیرش : 1393/07/07 تاریخ انتشار : 1393/07/20

کلید واژه: Compact operator, composition operator, Lipschitz function, spectrum of an operator, Lipschitz involution,

چکیده مقاله :

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.

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