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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
The structure of ideals‎, ‎point derivations‎, ‎amenability and weak‎ ‎amenability of extended Lipschitz algebras
Type
JournalPaper
Keywords
Amenability‎, ‎Banach function algebra‎, ‎Extended‎ ‎Lipschitz algebra‎, ‎Point derivation‎, ‎Weak amenability
Year
2017
Journal International Journal of Nonlinear Analysis and Applications
DOI
Researchers MALIHEH MAYGHANI ، Davood Alimohammadi

Abstract

‎ ‎In this paper we first study the structure of‎ ‎certain ideals of ${\rm Lip}(X,K,d^\alpha)$‎. ‎Next we show that if $K$‎ ‎is infinite‎ ‎and ${\rm int}(K)$ contains a limit point of $K$‎ ‎then ${\rm Lip}(X,K,d^\alpha)$ has‎ ‎at least a nonzero continuous point derivation‎ ‎and applying this fact we prove that ${\rm Lip}(X,K,d^\alpha)$ is‎ ‎not weakly amenable and amenable‎.X