31 خرداد 1403
حميد خدائي

حمید خدائی

مرتبه علمی: دانشیار
نشانی:
تحصیلات: دکترای تخصصی / ریاضی محض-آنالیز ریاضی
تلفن:
دانشکده: دانشکده علوم ریاضی و آمار

مشخصات پژوهش

عنوان
Generalizations of Alesandrov problem and Mazur-Ulam theorem for two-isometries and two-expansive mappings
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Alesandrov problem, C*-algebra, Mazur-Ulam theorem, strictly convex, two-isometry, two-expansive mapping
سال
2019
مجله Communications of the Korean Mathematical Society
پژوهشگران حمید خدائی

چکیده

We show that mappings preserving unit distance are close to two-isometries. We also prove that a mapping f is a linear isometry up to translation when f is a two-expansive surjective mapping preserving unit distance. Then we apply these results to consider two-isometries between normed spaces, strictly convex normed spaces and unital C-algebras. Finally, we propose some remarks and problems about generalized two- isometries on Banach spaces.