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Davood Alimohammadi

Davood Alimohammadi

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-9398-6213
Education: PhD.
ScopusId: 6505995626
Faculty: Science
Address: Arak University
Phone:

Research

Title
Weakly compact composition operators on real Banach spaces of complex-valued Lipschitz functions
Type
Presentation
Keywords
compact operator, composition operator, Lipschitz mapping, Lipschitz involution, weakly compact operator
Year
2015
Researchers Davood Alimohammadi ، MALIHEH MAYGHANI ، Hamidreza Alihoseini

Abstract

Let $ (X,d) $ be a pointed compact metric space and $ \tau $ be a base-point preserving Lipschitz involution on $ (X,d)$. We prove that every weakly compact composition operator on real Banach spaces of complex-valued Lipschitz functions $ {\rm Lip}_0 (X, d, \tau) $ and $ {\rm lip}_0 (X, d, \tau) $ is compact.