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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...]{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 invalution‎, ‎Weakly compact oprator
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