کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5772428 | 1413368 | 2017 | 35 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Rank two perturbations of matrices and operators and operator model for t-transformation of probability measures
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Rank two perturbations of matrices and operators and operator model for t-transformation of probability measures Rank two perturbations of matrices and operators and operator model for t-transformation of probability measures](/preview/png/5772428.png)
چکیده انگلیسی
Rank two parametric perturbations of operators and matrices are studied in various settings. In the finite dimensional case the formula for a characteristic polynomial is derived and the large parameter asymptotics of the spectrum is computed. The large parameter asymptotics of a rank one perturbation of singular values and condition number are discussed as well. In the operator case the formula for a rank two transformation of the spectral measure is derived and it appears to be the t-transformation of a probability measure, studied previously in the free probability context. New transformation of measures is studied and several examples are presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 272, Issue 3, 1 February 2017, Pages 1147-1181
Journal: Journal of Functional Analysis - Volume 272, Issue 3, 1 February 2017, Pages 1147-1181
نویسندگان
Anna Kula, MichaÅ Wojtylak, Janusz WysoczaÅski,