کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4626505 1631788 2015 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Relationships between DMP relation and some partial orders
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Relationships between DMP relation and some partial orders
چکیده انگلیسی

Let HH be an infinite-dimensional complex Hilbert space and let B(H)B(H) be the algebra of all bounded linear operators on HH. The equivalent definition of the DMP relation on B(H),B(H), using operator block matrices, is introduced. We present a new interpretation of this relation which allows to generalize many known results for matrices to general Hilbert spaces regarding the DMP relation and its relationship with the star order and minus partial order. Also some properties of DMP relation, defined with the help of idempotent operators, are investigated.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 266, 1 September 2015, Pages 41–53
نویسندگان
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