کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4599490 | 1631136 | 2014 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Operator power means due to Lawson–Lim–Pálfia for 1<t<21<t<2
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
For −1≤t≤1−1≤t≤1, Lim–Pálfia defined a new family of operator power means of positive definite matrices and subsequently by Lawson–Lim their notion and most of their results extend to the setting of positive invertible operators on a Hilbert space. Each of these means except t≠0t≠0 arises as a unique positive invertible solution of a non-linear operator equation and satisfies all desirable properties of power arithmetic means of positive real numbers. The purpose of this paper is to extend the range in which operator power means due to Lawson–Lim–Pálfia are defined. We investigate some properties of operator power means for t∈(−2,2)\[−1,1]t∈(−2,2)\[−1,1].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 459, 15 October 2014, Pages 342–356
Journal: Linear Algebra and its Applications - Volume 459, 15 October 2014, Pages 342–356
نویسندگان
Yuki Seo,