NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
چاپی
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
کارشناسی ارشد
Discipline of degree
ریاضی محض گرایش آنالیز ریاضی
Date of degree
۱۳۹۵/۰۳/۲۶
Body granting the degree
تبریز
SUMMARY OR ABSTRACT
Text of Note
Let A and B be unital C-algebras and h: A B be bijective map such that h(0) = 0, and for all n=0,1,2, , for all x A, and for all u U(A), h(2nuy) = h(2nu)h(y). At this dissertation, we show that under some conditions, h: A B is a C-algebra isomorphism and by enforcing real rank zero condition on a C-algebra A and weakening some others, the assertion still remains true. At the end, by using Ulam-Mazur theorem, we give a generalization of this problem for isometries between left normed modules