Maps Preserving Product A*B+B*A on C*-Algebras، انجام شده توسط علی تقوی

مشخصات پژوهش

عنوان	Maps Preserving Product AB+BA on C*-Algebras
نوع پژوهش	JournalPaper
کلیدواژه‌ها	Absolute value, C∗-algebra, C-linear, Conjugate C-linear, Homomorphism, Linear preserver problem
سال	2022
مجله	Bulletin of the Iranian Mathematical Society
شناسه DOI
پژوهشگران	Ali Taghavi ، Saeed Gholampour

چکیده

LetAand B be two unital C∗-algebras. It is shown that if a surjectivemap : A → B satisfies: A∗B + B∗A 2 = (A) ∗ (B) + (B) ∗ (A) 2 for every A, B ∈ A, and if is injective or (−I ) = −I , then is the direct sum of two ∗-homomorphisms, one of which is C-linear and the other is conjugate C-linear.