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

الموضوعات :

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

تاريخ الإرسال : 01 الإثنين , شوال, 1435 تاريخ التأكيد : 05 الإثنين , ذو الحجة, 1435 تاريخ الإصدار : 18 الأحد , ذو الحجة, 1435

الکلمات المفتاحية: Compact operator, composition operator, Lipschitz function, spectrum of an operator, Lipschitz involution,

ملخص المقالة :

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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