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   G-Frames in Hilbert Modules Over Pro-C*-‎Algebras  
نویسنده Haddadzadeh‎‎ N.
منبع International Journal Of Industrial Mathematics - 2017 - دوره : 9 - شماره : 4 - صفحه:259 -267
چکیده    G-frames are natural generalizations of frames which provide more choices on analyzing functions from frame expansion coefficients. first, they were de ned in hilbert spaces and then generalized on c*-hilbert modules. in this paper, we rst 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.
کلیدواژه Pro-C*‎-Algebra ,‎ Hilbert Modules ,G-Frames ,Frame ‎Operators‎
آدرس Islamic Azad University, Abadan Branch, Department Of Mathematics, ایران
پست الکترونیکی nhaddad25@gmail.com

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