کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5772405 | 1413367 | 2017 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A separable Fréchet space of almost universal disposition
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The GurariÄ space is the unique separable Banach space G which is of almost universal disposition for finite-dimensional Banach spaces, which means that for every ε>0, for all finite-dimensional normed spaces EâF, for every isometric embedding e:EâG there exists an ε-isometric embedding f:FâG such that fâ¾E=e. We show that GN with a special sequence of semi-norms is of almost universal disposition for finite-dimensional graded Fréchet spaces. The construction relies heavily on the universal operator on the GurariÄ space, recently constructed by GarbuliÅska-WÄgrzyn and the third author. In addition, we consider a non-graded sequence of semi-norms on GN with which the space GN is of almost universal disposition for finite-dimensional Fréchet spaces with a fixed sequence of semi-norms. In both cases, this yields in particular that GN is universal in the class of all separable Fréchet spaces.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 272, Issue 5, 1 March 2017, Pages 1876-1891
Journal: Journal of Functional Analysis - Volume 272, Issue 5, 1 March 2017, Pages 1876-1891
نویسندگان
Christian Bargetz, Jerzy KÄ
kol, WiesÅaw KubiÅ,