G-frames as special frames

Authors : Abas ASKARIZADEH, Mohammad Ali DEHGHAN

Pages : 60-70

Doi:10.3906/mat-1011-533

View : 11 | Download : 5

Publication Date : 0000-00-00

Article Type : Research Paper

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, Binsert ignore into journalissuearticles values(H,K);, where H and K are Hilbert spaces, and we prove that every g-frame for H is a frame for Binsert ignore into journalissuearticles values(H,K); and vice versa. Also, we derive some relationships between g-Riesz bases for H and Riesz bases in Binsert ignore into journalissuearticles values(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