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Davood Alimohammadi

Davood Alimohammadi

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

Research

Title
Weakly compact composition operators on real Lipschitz spaces of complex-valued functions
Type
Presentation
Keywords
Compact operator, Composition operator, Lipschitz functions, Lipschitz involution, Weakly compact operator
Year
2017
Researchers Davood Alimohammadi ، Hamidreza Alihoseini

Abstract

Let $(X,d)$ be a compact metric space, $\tau $ be a topological involution on $(X, d)$ and $\alpha \in (0, 1]$. We prove that every weakly compact composition operator on real Lipschitz spaces of complex-valued functions ${\rm Lip}(X, d^\alpha, \tau)$ and ${\rm lip}(X, d^\alpha, \tau)$ is compact.