کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4624385 1339544 2006 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generalized additive mapping in Banach modules and isomorphisms between C∗C∗-algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Generalized additive mapping in Banach modules and isomorphisms between C∗C∗-algebras
چکیده انگلیسی

Let X,YX,Y be vector spaces. It is shown that if an odd mapping f:X→Y satisfies the functional equationequation(1)rf(∑j=1dxjr)+∑ι(j)=0,1∑j=1dι(j)=lrf(∑j=1d(−1)ι(j)xjr)=(Cld−1−Cl−1d−1+1)∑j=1df(xj) then the odd mapping f:X→Y is additive, and we prove the Hyers–Ulam stability of the functional equation (1) in Banach modules over a unital C∗C∗-algebra. As an application, we show that every almost linear bijection h:A→B of a unital C∗C∗-algebra A   onto a unital C∗C∗-algebra B   is a C∗C∗-algebra isomorphism whenh(2nrnuy)=h(2nrnu)h(y) for all unitaries u∈Au∈A, all y∈Ay∈A, and n=0,1,2,….

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 314, Issue 1, 1 February 2006, Pages 150–161
نویسندگان
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