کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4603510 1631179 2007 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonnegative Moore–Penrose inverses of Gram operators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Nonnegative Moore–Penrose inverses of Gram operators
چکیده انگلیسی

This paper is concerned with necessary and sufficient conditions for the nonnegativity of Moore–Penrose inverses of Gram operators between real Hilbert spaces. These conditions include statements on acuteness (or obtuseness) of certain closed convex cones. The main result generalizes a well known result for inverses in the finite dimensional case over the nonnegative orthant to Moore–Penrose inverses in (possibly) infinite dimensional Hilbert spaces over any general closed convex cone.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 422, Issues 2–3, 15 April 2007, Pages 471-476