کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4602578 1336930 2008 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The normed finiteness property of compact contraction operators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The normed finiteness property of compact contraction operators
چکیده انگلیسی

We study the joint spectral radius given by a finite set of compact operators on a Hilbert space. It is shown that the normed finiteness property holds in this case, that is, if all the compact operators are contractions and the joint spectral radius is equal to 1 then there exists a finite product that has a spectral radius equal to 1. We prove an additional statement in that the requirement that the joint spectral radius be equal to 1 can be relaxed to the asking that the maximum norm of finite products of a length norm is equal to 1. The length of this product is related to the dimension of the subspace on which the set of operators is norm preserving.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 428, Issue 10, 1 May 2008, Pages 2319-2323