کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6416129 | 1631101 | 2016 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Weak-2-local symmetric maps on Câ-algebras
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We introduce and study weak-2-local symmetric maps between Câ-algebras A and B as not necessarily linear, nor continuous, maps Î:AâB such that for each a,bâA and ÏâBâ, there exists a symmetric linear map Ta,b,Ï:AâB, depending on a, b and Ï, satisfying ÏÎ(a)=ÏTa,b,Ï(a) and ÏÎ(b)=ÏTa,b,Ï(b). We prove that every weak-2-local symmetric map between Câ-algebras is a linear map. Among the consequences we show that every weak-2-local â-derivation on a general Câ-algebra is a (linear) â-derivation. We also establish a 2-local version of the Kowalski-SÅodkowski theorem for general Câ-algebras by proving that every 2-local â-homomorphism between Câ-algebras is a (linear) â-homomorphism.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 494, 1 April 2016, Pages 32-43
Journal: Linear Algebra and its Applications - Volume 494, 1 April 2016, Pages 32-43
نویسندگان
Juan Carlos Cabello, Antonio M. Peralta,