چکیده مقاله
Abstract Let A be a Lie Banach∗ algebra For each elements a, b and c, d in A2 := A × A, by definitions a, b c, d = ac, bd , ∥ a, b ∥ = ∥a∥ ∥b∥, a, b ∗ = a∗, b∗ , A2 can be considered as a Banach∗ algebra This Banach∗ algebra is called a Lie Banach∗ algebra whenever it is equipped with the following definitions of Lie product: a, b , c, d =ac − ca 2 , bd − db 2 for all a, b, c, d in A Also, if A is a Lie Banach∗ algebra, then D : A2 −→ A2 satisfying D a, b , c, d = D a, b , c, d a, b ,D c, d for all a, b, c, d ∈ A, is a Lie derivation on A2 Furthermore, if A is a Lie Banach∗ algebra, then D is called a Lie∗ derivation on A2 whenever D is a Lie derivation with D a, b ∗ = D a∗, b∗ for all a, b ∈ A In this paper, we investigate the Hyers Ulam stability of Lie Banach∗ algebra homomorphisms and Lie∗derivations on the Banach∗ algebra A2
کلیدواژهها
نویسندگان
Javad Izadi
Department of Mathematics, Payame Noor University PNU , Tehran, Iran
شیوه ارجاع
Izadi, Javad,1401,Lie∗Derivations and Lie Banach∗-algebra Homomorphisms Under the Hyers-Ulam Stability,10th National Conference on Mathematics, Payame Noor University,Shiraz
ارائهشده در
مجموعه مقالات دهمین همایش ملی ریاضی دانشگاه پیام نور28 اردیبهشت 1401 · شیراز