%0 Journal Article
%T On some maps into Banach algebras and Banach modules
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Hayati, Bahman
%D 2021
%\ 11/01/2021
%V 12
%N 2
%P 471-477
%! On some maps into Banach algebras and Banach modules
%K homomorphism
%K Derivation
%K Banach module
%K C*-algebra
%R 10.22075/ijnaa.2021.21768.2295
%X In this paper, we study some maps from a $C^*$-algebra into a Banach algebra or a Banach module. Under some conditions, by extending on unitization of Banach algebras, we prove that the maps defined into Banach algebras are homomorphisms and the others defined into Banach modules are derivations. Applications of our results in the context of $C^*$-algebras are also provided.
%U https://ijnaa.semnan.ac.ir/article_5073_175bde87616e39245bc7ba2dcab16c49.pdf