کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599476 1631136 2014 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
One sided invertibility of matrices over commutative rings, corona problems, and Toeplitz operators with matrix symbols
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
One sided invertibility of matrices over commutative rings, corona problems, and Toeplitz operators with matrix symbols
چکیده انگلیسی

Conditions are established under which Fredholmness, Coburn's property and one- or two-sided invertibility are shared by a Toeplitz operator with matrix symbol G   and the Toeplitz operator with scalar symbol det⁡Gdet⁡G. These results are based on one-sided invertibility criteria for rectangular matrices over appropriate commutative rings and related scalar corona type problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 459, 15 October 2014, Pages 58–82
نویسندگان
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