کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642856 1341359 2007 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mass concentration in quasicommutators of Toeplitz matrices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Mass concentration in quasicommutators of Toeplitz matrices
چکیده انگلیسی
We consider the algebra generated by the principal finite sections of products of multidimensional block Toeplitz operators with bounded symbols. The matrices in this algebra may be regarded as higher-dimensional cubes of increasing side length. We prove that the matrices in the quasicommutator ideal of the algebra have asymptotically no mass in the interior. This observation yields another elementary proof of first-order Szegö-type results. We also determine the corners, edges, and subfaces of the cube that may carry mass asymptotically.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 205, Issue 1, 1 August 2007, Pages 129-148
نویسندگان
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