کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6416422 | 1631144 | 2014 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Elementary operators which are m-isometries
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The study of m-isometry elementary operator of length one is initiated by Botelho and Jamison. Several authors have contributed to obtain this result: if the two operator coefficients involved are m-isometries then the elementary operator is m-isometry on the Hilbert-Schmidt operator ideal. In this paper we show that the converse of this result is also true. We also give a necessary and sufficient condition forâ the generalized derivation to be an m-isometry. The sufficiency follows from results on the sum of m-isometries and nilpotent operators in two recent papers.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 451, 15 June 2014, Pages 49-64
Journal: Linear Algebra and its Applications - Volume 451, 15 June 2014, Pages 49-64
نویسندگان
Caixing Gu,