کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9500055 1646772 2018 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Perturbed marked reduced forms of invariant subspaces
ترجمه فارسی عنوان
مزاحم نشانه اشکال کاهش یافته از زیرمجموعه های غیر مجاز است
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
The classification of invariant subspaces is an open problem related to other important ones like the Carlson problem. Here we obtain a reduced form of these invariant subspaces as a new tool to tackle these problems. In particular, it allows us to prove quite easily partial results already known. The key point is assigning to each invariant subspace a marked one (its marked type) in order to partition the set of invariant subspaces in a finite number of subsets (the marked classes), each one containing only one marked subspace. Next, we parametrize (minimally) each marked class by means of the so-called PM reduced families, so that representatives of an invariant subspace (its PM reduced forms) appear in just one of these families.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 559, 15 December 2018, Pages 194-226
نویسندگان
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