G-frames as special frames
Authors : Abas Askarizadeh, Mohammad Ali Dehghan
Pages : 60-70
Doi:10.3906/mat-1011-533
View : 8 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :G-frames are generalizations of ordinary frames for Hilbert spaces. In the present paper we study frames, and operators on a special separable Hilbert C*-module, B(H,K), where H and K are Hilbert spaces, and we prove that every g-frame for H is a frame for B(H,K) and vice versa. Also, we derive some relationships between g-Riesz bases for H and Riesz bases in B(H,K). Similar results for orthogonal bases will be discussed.Keywords : Key words: Hilbert C*-module, Frame, g-Frame, Riesz basis, g-Riesz basis, Orthogonal basis, g-Orthonormal basis