کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4616899 | 1339363 | 2013 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On differentiability of convex operators
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The main known results on differentiability of continuous convex operators f from a Banach space X to an ordered Banach space Y are due to J.M. Borwein and N.K. Kirov. Our aim is to prove some “supergeneric” results, i.e., to show that, sometimes, the set of Gâteaux or Fréchet nondifferentiability points is not only a first-category set, but also smaller in a stronger sense. For example, we prove that if Y is countably Daniell and the space L(X,Y) of bounded linear operators is separable, then each continuous convex operator f:XâY is Fréchet differentiable except for a Î-null angle-small set. Some applications of such supergeneric results are shown.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 402, Issue 1, 1 June 2013, Pages 12-22
Journal: Journal of Mathematical Analysis and Applications - Volume 402, Issue 1, 1 June 2013, Pages 12-22
نویسندگان
Libor Veselý, LudÄk ZajÃÄek,