01 تیر 1403
حميد خدائي

حمید خدائی

مرتبه علمی: دانشیار
نشانی:
تحصیلات: دکترای تخصصی / ریاضی محض-آنالیز ریاضی
تلفن:
دانشکده: دانشکده علوم ریاضی و آمار

مشخصات پژوهش

عنوان
n–DERIVATIONS AND FUNCTIONAL INEQUALITIES WITH APPLICATIONS
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
nth power property, n-derivation, Functional inequality, Banach algebra
سال
2020
مجله MATHEMATICAL INEQUALITIES & APPLICATIONS
پژوهشگران حمید خدائی

چکیده

We prove that every bounded n-derivation of a commutative factorizable Banach algebra maps into its radical. Also, the nilpotency of eigenvectors of any bounded n-derivation corresponding to its eigenvalues is derived. We introduce the notion of approximate n-derivations on a Banach algebra A and show that the separating space of an approximate n-derivation (n >2) is not necessarily an ideal, unless the Banach algebra A is factorizable. From this and some results on bounded n-derivations, we prove that every approximate n-derivation of a semisimple factorizable Banach algebra is automatically continuous and every approximate n-derivation of a commutative semisimple factorizable Banach algebra is identically zero. Some applications of our results are also provided.