@article {
author = {Khoddami, Ali Reza},
title = {A Certain Class of Character Module Homomorphisms on Normed Algebras},
journal = {Sahand Communications in Mathematical Analysis},
volume = {12},
number = {1},
pages = {113-120},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.78500.364},
abstract = {For two normed algebras $A$ and $B$ with the character space $\bigtriangleup(B)\neq \emptyset$ and a left $B-$module $X,$ a certain class of bounded linear maps from $A$ into $X$ is introduced. We set $CMH_B(A, X)$ as the set of all non-zero $B-$character module homomorphisms from $A$ into $X$. In the case where $\bigtriangleup(B)=\lbrace \varphi\rbrace$ then $CMH_B(A, X)\bigcup \lbrace 0\rbrace$ is a closed subspace of $L(A, X)$ of all bounded linear operators from $A$ into $X$. We define an equivalence relation on $CMH_B(A, X)$ and use it to show that $CMH_B(A, X)\bigcup\lbrace 0\rbrace $ is a union of closed subspaces of $L(A, X)$. Also some basic results and some hereditary properties are presented. Finally some relations between $\varphi-$amenable Banach algebras and character module homomorphisms are examined.},
keywords = {Character space,Character module homomorphism,Arens products,$varphi-$amenability,$varphi-$contractibility},
url = {http://scma.maragheh.ac.ir/article_31199.html},
eprint = {http://scma.maragheh.ac.ir/article_31199_6d259fdf33f0dff36ef61b8685f930c1.pdf}
}