Fusion frames and g-frames in Hilbert C*-modules

International Journal of Wavelets, Multiresolution and Information Processing

Volumn 6, Issue 3, 2008, Pages 433-446

  Khosravi, Amir ^a   Khosravi, Behrooz ^b  

^a KHARAZMI UNIVERSITY   (Iran)

^b AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Frame; Fusion frame; G frame; Hilbert C* module

Indexed keywords

PERTURBATION TECHNIQUES; TENSORS;

FUSION FRAME; G-FRAME; TENSOR PRODUCT;

HILBERT SPACES;

EID: 44349127864     PISSN: 02196913     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219691308002458     Document Type: Article

References (13)

1. M. S. Asgari and A. Khosravi, Frames and bases of subspaces in Hilbert spaces, J. Math. Anal. Appl. 308(2) (2005) 541-553.
2. P. G. Casazza and G. Kutyniok, Frames of subspaces, in Wavelets, Frames, and Operator Theory. Focused Research Group Workshop in Wavelets, Frames and Operator Theory, eds. C. Heil, P. E. T. Jorgensen and D. H. Larson, Contemporary Math., Vol. 345 (Amer. Math. Soc. Providence, RI, 2004), pp. 87-113.
3. P. C. Casazza, C. Kutyniok and S. Li, Fusion frames and distributed processing, to appear in Appl. Comput. Harmon. Anal. (2007); doi: 10.1016/j.acha.2007.10.001./
4. O. Christensen and Y. C. Eldar, Oblique dual frames and shift-invariant spaces, Appl. Computt. Harmon. Anal. 17 (2004) 48-68.
5. R. G. Duffin and A. C. Schaeffer, A class of nonharmonic Fourier series, Trans. Amer. Math. Soc. 72 (1952) 341-366.
6. *-modules and C *-algebras, J. Operator Theory 48 (2002) 273-314.
7. *-modules, Proc. Indian Acad. Sci. Math. Sci. 117(1) (2007) 1-12.
8. *-Modules - A Toolkit for Operator Algebraists, London Math. Soc. Lecture Note Ser., Vol. 210 (Cambridge University Press, Cambridge, England 1995).
9. S. Li and H. Ogawa, Pseudoframes for subspaces with applications, J. Fourier Anal. Appl. 10 (2004) 409-431.
10. *-Algebra and Operator Theory (Academic Press, London, 1990).
11. J. Schweizer, A description of Hilbert C*modules in which all closed submodules are orunogonally closed, Proc. Amer. Math. Soc. 127 (1999) 2123-2125.
12. W. Sun, G-frame and G-Riesz bases, J. Math. Anal. Appl. 322 (2006) 437-452.
13. N. E. Wegge-Olsen, K-Theory and C*-Algebras, A Friendly Approach (Oxford University Press, Oxford, England, 1993).