Curves in Banach spaces which allow a C2-parameterization
نویسندگان
چکیده
We give a complete characterization of those f : [0, 1] → X (where X is a Banach space which admits an equivalent Fréchet smooth norm) which allow an equivalent C 2 parametrization. For X = R, a characterization is well-known. However, even in the case X = R 2 , several quite new ideas are needed. Moreover, the very close case of parametrizations with a bounded second derivative is solved.
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ورودعنوان ژورنال:
- J. London Math. Society
دوره 83 شماره
صفحات -
تاریخ انتشار 2011