*-frames for operators on Hilbert modules
عنوان مقاله: *-frames for operators on Hilbert modules
شناسه ملی مقاله: JR_WALA-3-1_003
منتشر شده در در سال 1395
شناسه ملی مقاله: JR_WALA-3-1_003
منتشر شده در در سال 1395
مشخصات نویسندگان مقاله:
Bahram Dastourian - Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran
Mohammad Janfada - Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran
خلاصه مقاله:
Bahram Dastourian - Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran
Mohammad Janfada - Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran
K-frames which are generalization of frames on Hilbert spaces, were introduced to study atomic systems with respect to a bounded linear operator. In this paper, *-K-frames on Hilbert C^*-modules, as a generalization of K-frames, are introduced and some of their properties are obtained. Then some relations between *-K-frames and *-atomic systems with respect to an adjointable operator are considered and some characterizations of *-K-frames are given. Finally perturbations of *-K-frames are discussed.
کلمات کلیدی: K-framesep *-frame, Hilbert, C^*-module
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1902929/