شماره ركورد كنفرانس :
3360
عنوان مقاله :
COMMUTATIVITY OF BANACH ALGEBRAS WITH DERIVATIONS
Author/Authors :
AMIN HOSSEINI Department of Mathematics - Kashmar Higher Education Institute
كليدواژه :
Derivation , Jordan derivation , commutativity of Banach algebra , primitive ideal
عنوان كنفرانس :
چهارمين سمينار آناليز تابعي و كاربردهاي آن
چكيده لاتين :
This note is an attempt to express the following main results. Let A be an algebra, I be a semi-prime ideal of A, and let d
A ! A be a Jordan derivation. If dimfd(a) + I j a 2 Ag 1, then d(A) I. As a conclusion concerning the commutativity of
Banach algebras, we will show that if A is a semi-simple Banach algebra, then A is commutative if and only if each primitive ideal of A has codimension 1
