مشخصات پژوهش

صفحه نخست /Redundancy of Fusion Frames ...
عنوان
Redundancy of Fusion Frames in Hilbert Spaces
عنوان مجله Complex Analysis and Operator Theory
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Fusion frame · Redundancy function · Upper redundancy · Lower redundancy · Erasure
چکیده
Upon improving and extending the concept of redundancy of frames, we introduce the notion of redundancy of fusion frames, which is concerned with the properties of lower and upper redundancies. These properties are achieved by considering the minimum and maximum values of the redundancy function which is defined from the unit sphere of the Hilbert space into the positive real numbers. In addition, we study the relationship between redundancy of frames (fusion frames) and dual frames (dual fusion frames). Moreover, we indicate some results about excess of fusion frames. We state the relationship between redundancy of local frames and fusion frames in a particular case. Furthermore, some examples are also given.
پژوهشگران اصغر رحیمی (نفر اول)، گلاله زندی (نفر دوم)، بیاض دارابی (نفر سوم)