چکیده مقاله
Let A be a Lie Banach algebra For each elements a; b and c; d in A2 := A A, by definitions … A2 can be considered as a Banach algebra This Banach algebra is called a Lie Banach algebra wheneverit is equipped with the following definitions of Lie product: for all a, b, c, d in A Also, if A is a Lie Banach algebra, then D : A2 ! A2 satisfying for all a; b; c; d 2 A, is a Lie derivation on A2 Furthermore, if A is a Lie Banach algebra, then D is calleda Lie derivation on A2 whenever D is a Lie derivation with D a; b = D a ; b for all a; b 2 A In thispaper, we investigate the Hyers Ulam stability of Lie Banach algebra homomorphisms and Lie derivationson the Banach algebra A2
نویسندگان
Javad Izadi
Department of Mathematics, Payame Noor University, P O Box: ۱۹۳۹۵ ۳۶۹۷, Tahran, Iran
Bahma Yousefi
Department of Mathematics, Payame Noor University, P O Box: ۱۹۳۹۵ ۳۶۹۷, Tahran, Iran
شیوه ارجاع
Izadi, Javad and Yousefi, Bahma,1395,LIE DERIVATIONS AND HYER-ULAM STABILITY,8th National Conference on Mathematics, Payame Noor University
ارائهشده در
مجموعه مقالات هشتمین همایش ملی ریاضی دانشگاه پیام نور22 اردیبهشت 1395