Title of article :
Some Properties of Vector-valued Lipschitz Algebras
Author/Authors :
Azizi, Mohsen Department of Mathematics - University of Isfahan, Isfahan, Iran , Biyabani, Emamgholi Department of Mathematics - Islamic Azad University, majlesi Branch, Isfahan, Iran , Rejali, Ali Department of Mathematics - University of Isfahan, Isfahan, Iran
Abstract :
Let $(X,d)$ be a metric space and $Jsubseteq (0,infty)$ be
a nonempty set. We study the structure of the arbitrary intersection of
vector-valued Lipschitz algebras, and define a special Banach subalgebra of
$cap{Lip_gamma (X,E):gammain J}$, where $E$ is a Banach algebra, denoted by $ILip_J (X,E)$. Mainly,
we investigate $C-$character amenability of $ILip_J (X,E)$.
Keywords :
Character amenability , Lipschitz algebra , Metric space , Vector-valued functions
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
