Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1011-533
Keywords
Hilbert C^*-module, Frame, g-Frame, Riesz basis, g-Riesz basis, Orthogonal basis, g-Orthonormal basis
First Page
60
Last Page
70
Recommended Citation
ASKARIZADEH, A, & DEHGHAN, M. A (2013). G-frames as special frames. Turkish Journal of Mathematics 37 (1): 60-70. https://doi.org/10.3906/mat-1011-533
