کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8899758 1631550 2018 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Isometries on spaces of absolutely continuous vector-valued functions
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Isometries on spaces of absolutely continuous vector-valued functions
چکیده انگلیسی
This paper investigates the surjective (not necessarily linear) isometries between spaces of absolutely continuous vector-valued functions with respect to the norm ‖⋅‖=max⁡{‖⋅‖∞,V(⋅)}, where ‖⋅‖∞ and V(⋅) denote the supremum norm and the total variation of a function, respectively, and gives an absolutely continuous version of a celebrated theorem by Jerison. As a consequence, in the scalar-valued case, we obtain generalizations of all known results concerning such isometries by a different approach.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 463, Issue 1, 1 July 2018, Pages 386-397
نویسندگان
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