کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4602208 1336918 2009 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the filling in holes problem for operator matrices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On the filling in holes problem for operator matrices
چکیده انگلیسی

We consider upper-triangular 2-by-2 operator matrices and are interested in the set that has to be added to certain spectra of the matrix in order to get the union of the corresponding spectra of the two diagonal operators. We show that in the cases of the Browder essential approximate point spectrum, the upper semi-Fredholm spectrum, or the lower semi-Fredholm spectrum the set in question need not to be an open set but may be just a singleton. In addition, we modify and extend known results on Hilbert space operators to operators on Banach spaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 430, Issue 1, 1 January 2009, Pages 558-563