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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 on compact metric spaces with Lipschitz involutions
Type
JournalPaper
Keywords
Compact operator, Composition operator, Lipschitz involution, Weakly compact operator
Year
2017
Journal Australian Journal of Mathematical Analysis and Applications
DOI
Researchers Davood Alimohammadi ، Hamidreza Alihoseini

Abstract

‎We first show that a bounded linear operator $T$ on a real Banach space $E$ is weakly compact if and only if the complex linear operator $T'$ on the complex Banach space $E_{\mathbb{C}}$ is weakly compact‎, ‎where $E_{\mathbb{C}}$ is a suitable complexification of $E$ and $T'$ is the complex linear operator on $E_{\mathbb{C}}$ associated with $T$‎. ‎Next we show that every weakly compact composition operator on real Lipschitz spaces of complex-valued functions on compact metric spaces with Lipschitz involutions is compact‎.X