کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4616599 | 1339353 | 2013 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A note on the Mazur-Ulam property of almost-CL-spaces
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A note on the Mazur-Ulam property of almost-CL-spaces A note on the Mazur-Ulam property of almost-CL-spaces](/preview/png/4616599.png)
چکیده انگلیسی
We introduce the (T)-property, and prove that every Banach space with the (T)-property has the Mazur-Ulam property (for short, MUP). We obtain as its immediate applications that almost-CL-spaces admitting a smooth point (in particular, separable almost-CL-spaces) and a two-dimensional space whose unit sphere is a hexagon have the MUP. Furthermore, we discuss the stability of the spaces having the MUP derived from the c0- andâ1-sums, and show that the space C(K,X) of the vector-valued continuous functions has the MUP, where X is a separable almost-CL-space and K is a compact metric space.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 405, Issue 1, 1 September 2013, Pages 336-341
Journal: Journal of Mathematical Analysis and Applications - Volume 405, Issue 1, 1 September 2013, Pages 336-341
نویسندگان
Dongni Tan, Rui Liu,