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
Continuous Maps Preserving Jordan Triple Products From Un to Dm
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Unitary group; Diagonal unitary group; Jordan triple product map
سال
2019
مجله INDAGATIONES MATHEMATICAE-NEW SERIES
شناسه DOI
پژوهشگران Ali Taghavi ، Seyed Sadegh Salehi Amiri

چکیده

Let Un be a complex unitary group and Dn be its subgroup that consists of n × n diagonal matrices whose diagonal elements are complex numbers of modulus 1. In this paper we present some general results on Jordan triple product maps between Un and Um. As a main result we present the general form of all (continuous) Jordan triple product maps from the group Un to the group Dm. Also, we characterize the general form of all (continuous) maps between the groups Dn and Dm that preserve the Jordan triple product. These are the (continuous) maps ϕ : Dn → Dm which satisfy ϕ(VWV) = ϕ(V)ϕ(W)ϕ(V), V,W ∈ Dn.