1403/01/10
علی تقوی

علی تقوی

مرتبه علمی: استاد
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی
نشانی:
تلفن: 01135302460

مشخصات پژوهش

عنوان
Maps Preserving Jordan Triple Product on The Self-Adjoint Elements of C*-Algebras
نوع پژوهش
JournalPaper
کلیدواژه‌ها
C∗-algebra; C-linear; C-antilinear; concave map; homomorphism; linear preserver problem; real rank zero.
سال
2017
مجله Asian-European Journal of Mathematics
شناسه DOI
پژوهشگران Ali Taghavi

چکیده

Let A and B be two unital C∗-algebras with unit I. It is shown that the mapping φ : As →Bs which preserves arithmetic mean and Jordan triple product is a difference of two Jordan homomorphisms provided that 0 ∈ Ranφ. The structure of φ is more refined when φ(I) ≥ 0 or φ(I) ≤ 0. Furthermore, if A is a C∗-algebra of real rank zero and φ : A → B is additive and preserves absolute value of product, then φ = φ1⊕φ2 such that φ1 (respectively, φ2) is a complex linear (respectively, antilinear) ∗-homomorphism.