کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4624259 1339536 2006 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
G-frames and g-Riesz bases
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
G-frames and g-Riesz bases
چکیده انگلیسی

G-frames are generalized frames which include ordinary frames, bounded invertible linear operators, as well as many recent generalizations of frames, e.g., bounded quasi-projectors and frames of subspaces. G-frames are natural generalizations of frames and provide more choices on analyzing functions from frame expansion coefficients. We give characterizations of g-frames and prove that g-frames share many useful properties with frames. We also give a generalized version of Riesz bases and orthonormal bases. As an application, we get atomic resolutions for bounded linear operators.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 322, Issue 1, 1 October 2006, Pages 437-452