کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4623549 1631575 2006 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On positively differentiable curves with values in normed linear spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On positively differentiable curves with values in normed linear spaces
چکیده انگلیسی

We prove a theorem that characterizes continuous normed linear space-valued curves allowing differentiable parameterizations with non-zero derivatives as those curves, all the points of which are regular (in Choquet's sense). We also state an equivalent geometric condition not involving any homeomorphisms. This extends a theorem due to Choquet, who proved a similar result for curves with values in Euclidean spaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 320, Issue 2, 15 August 2006, Pages 662-674