G-frames in Hilbert Modules Over Pro-C*-algebras
عنوان مقاله: G-frames in Hilbert Modules Over Pro-C*-algebras
شناسه ملی مقاله: JR_IJIM-9-4_001
منتشر شده در در سال 1396
شناسه ملی مقاله: JR_IJIM-9-4_001
منتشر شده در در سال 1396
مشخصات نویسندگان مقاله:
N. Haddadzadeh - Department of Mathematics, Abadan Branch, Islamic Azad University, Abadan, Iran.
خلاصه مقاله:
N. Haddadzadeh - Department of Mathematics, Abadan Branch, Islamic Azad University, Abadan, Iran.
G-frames are natural generalizations of frames which provide more choices on analyzing functions from frame expansion coefficients. First, they were defined in Hilbert spaces and then generalized on C*-Hilbert modules. In this paper, we first generalize the concept of g-frames to Hilbert modules over pro-C*-algebras. Then, we introduce the g-frame operators in such spaces and show that they share many useful properties with their corresponding notions in Hilbert spaces. We also show that, by having a g-frame and an invertible operator in this spaces, we can produce the corresponding dual g-frame. Finally we introduce the canonical dual g-frames and provide a reconstruction formula for the elements of such Hilbert modules.
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1887078/