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, ABAS and DEHGHAN, MOHAMMAD ALI
(2013)
"G-frames as special frames,"
Turkish Journal of Mathematics: Vol. 37:
No.
1, Article 7.
https://doi.org/10.3906/mat-1011-533
Available at:
https://journals.tubitak.gov.tr/math/vol37/iss1/7
