کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599278 1631128 2015 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Range additivity, shorted operator and the Sherman–Morrison–Woodbury formula
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Range additivity, shorted operator and the Sherman–Morrison–Woodbury formula
چکیده انگلیسی

We say that two operators A, B   have the range additivity property if R(A+B)=R(A)+R(B)R(A+B)=R(A)+R(B). In this article we study the relationship between range additivity, shorted operator and certain Hilbert space decomposition known as compatibility. As an application, we extend to infinite dimensional Hilbert space operators a formula of Fill and Fishkind related to the well-known Sherman–Morrison–Woodbury formula.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 467, 15 February 2015, Pages 86–99
نویسندگان
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