K-orthonormal and K-Riesz Bases
عنوان مقاله: K-orthonormal and K-Riesz Bases
شناسه ملی مقاله: JR_SCMA-18-1_005
منتشر شده در در سال 1400
شناسه ملی مقاله: JR_SCMA-18-1_005
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:
Ahmad Ahmdi - Department of Mathematics, Faculty of Science, University of Hormozgan, P.O.Box ۷۹۱۶۱۹۳۱۴۵, Bandar Abbas, Iran.
Asghar Rahimi - Department of Mathematics, Faculty of Science, University of Maragheh, P.O.Box ۵۵۱۳۶-۵۵۳, Maragheh, Iran.
خلاصه مقاله:
Ahmad Ahmdi - Department of Mathematics, Faculty of Science, University of Hormozgan, P.O.Box ۷۹۱۶۱۹۳۱۴۵, Bandar Abbas, Iran.
Asghar Rahimi - Department of Mathematics, Faculty of Science, University of Maragheh, P.O.Box ۵۵۱۳۶-۵۵۳, Maragheh, Iran.
Let K be a bounded operator. K-frames are ordinary frames for the range K. These frames are a generalization of ordinary frames and are certainly different from these frames. This research introduces a new concept of bases for the range K. Here we define the K-orthonormal basis and the K-Riesz basis, and then we describe their properties. As might be expected, the K-bases differ from the ordinary ones mentioned in this article.
کلمات کلیدی: K-frame, Riesz basis, Orthonormal basis, Atomic system
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1221124/