کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774482 1413561 2017 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonmaximal ideals and the Berkovich space of the algebra of bounded analytic functions
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Nonmaximal ideals and the Berkovich space of the algebra of bounded analytic functions
چکیده انگلیسی
We prove that the Berkovich space (or multiplicative spectrum) of the algebra of bounded analytic functions on the open unit disk of an algebraically closed nonarchimedean field contains multiplicative seminorms that are not norms and whose kernel is not a maximal ideal. We also prove that in general these seminorms are not univocally determined by their kernels, and provide a method for obtaining families of different seminorms sharing the same kernel. The relation with the Berkovich space of the Tate algebra is also given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 455, Issue 1, 1 November 2017, Pages 221-245
نویسندگان
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