مشخصات پژوهش

عنوان	A note on norm retrievable real Hilbert space frames
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Real Hilbert frames Fusion frame Finitely full spark Full spark Phase retrieval Norm retrieval
چکیده	In this manuscript, we present several new results in finite and countable dimen- sional real Hilbert space norm retrieval by vectors and projections. We make a detailed study of when hyperplanes do norm retrieval. Also, we show that the families of norm retrievable frames {fi}m i=1 in Rn are not dense in the family of m ≤ (2n − 2)-element sets of vectors in Rn for every finite n and the families of vectors which do norm retrieval in 2 are not dense in the infinite families of vectors in 2. We also show that if a Riesz basis does norm retrieval in 2 , then it is an orthogonal sequence. We provide numerous examples to show that our results are best possible.
پژوهشگران	اصغر رحیمی (نفر چهارم)، محمد علی حسنخانی فرد (نفر سوم)، پیتر جی کاسازا (نفر دوم)، فاتح اکرمی (نفر اول)