کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5773277 1631066 2017 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Equivalence between GLT sequences and measurable functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Equivalence between GLT sequences and measurable functions
چکیده انگلیسی
The theory of Generalized Locally Toeplitz (GLT) sequences of matrices has been developed in order to study the asymptotic behaviour of particular spectral distributions when the dimension of the matrices tends to infinity. Key concepts in this theory are the notions of Approximating Classes of Sequences (a.c.s.) and spectral symbols that lead to defining a metric structure on the space of matrix sequences and provide a link with the measurable functions. In this paper we prove additional results regarding theoretical aspects, such as the completeness of the matrix sequences space with respect to the metric a.c.s. and the identification of the space of GLT sequences with the space of measurable functions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 529, 15 September 2017, Pages 397-412
نویسندگان
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