Banach Pair Frames
عنوان مقاله: Banach Pair Frames
شناسه ملی مقاله: JR_WALA-5-1_003
منتشر شده در در سال 1397
شناسه ملی مقاله: JR_WALA-5-1_003
منتشر شده در در سال 1397
مشخصات نویسندگان مقاله:
Abolhassan Fereydooni - Department of Basic Sciences, Ilam University, Ilam, Iran
Ahmad Safapour - Vali-e-Asr university
خلاصه مقاله:
Abolhassan Fereydooni - Department of Basic Sciences, Ilam University, Ilam, Iran
Ahmad Safapour - Vali-e-Asr university
In this article, we consider pair frames in Banach spaces and introduce Banach pair frames. Some various concepts in the frame theory such as frames, Schauder frames, Banach frames and atomic decompositions are considered as special kinds of (Banach) pair frames. Some frame-like inequalities for (Banach) pair frames are presented. The elements that participant in the construction of (Banach) pair frames are characterized. It is shown that a Banach space \mathrm{X} has a Banach pair frame with respect to a Banach scalar sequence space \ell, when it is precisely isomorphic to a complemented subspace of \ell. It is shown that if we are allowed to choose the scalar sequence space, pair frames and Banach pair frames with respect to the chosen scalar sequence space denote the same concept.
کلمات کلیدی: Banach frame, Atomic decomposition, (Banach)pair frame, (Banach)pair Bessel
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1903003/