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   On a Generalization of the Hilbert Frame Generated by the Bilinear Mapping  
   
نویسنده ismailov m. ,guliyeva f. ,nasibov y.
منبع journal of function spaces - 2016 - دوره : 2016 - شماره : 0
چکیده    The concept of b -frame which is a generalization of the frame in hilbert spaces generated by the bilinear mapping is considered. b -frame operator is defined; analogues of some well-known results of frame theory are obtained in hilbert spaces. conditions for the existence of b -frame in hilbert spaces are obtained; the relationship between the definite bounded surjective operator and b -frame is also studied. the concept of b -orthonormal b -basis is introduced. © 2016 migdad ismailov et al.
آدرس institute of mathematics and mechanics of nas of azerbaijan,azerbaijan,baku state university bsu.edu.az, Azerbaijan, institute of mathematics and mechanics of nas of azerbaijan, Azerbaijan, institute of mathematics and mechanics of nas of azerbaijan, Azerbaijan
 
     
   
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