Hilbert space frames containing a Riesz basis and Banach spaces which have no subspace isomorphic to c0

Journal of Mathematical Analysis and Applications

Volumn 202, Issue 3, 1996, Pages 940-950

  Casazza, Peter G ^a   Christensen, Ole ^b  

^a UNIVERSITY OF MISSOURI   (United States)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030587351     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0355     Document Type: Article

References (9)

1. [CC] P. G. Casazza and O. Christensen, Frames containing a Riesz basis and preservation of this property under perturbation, submitted for publication.
2. [C1] O. Christensen, Frames containing a Riesz basis and approximation of the frame coefficients using finite dimensional methods, J. Math. Anal. Appl. 199 (1996), 256-270.
3. [C2] O. Christensen, Frames and pseudo-inverses, J. Math. Anal. Appl., 195 (1995), 401-414.
4. [C3] O. Christensen, Frame perturbations, Proc. Amer. Math. Soc. 123 (1995), 1217-1220.
5. [CH] O. Christensen and C. Heil, Perturbation of Banach frames and atomic decomposition, Math. Nachr., in press.
6. [D] J. Diestel, Sequences and series in Banach spaces, in "Graduate Texts in Mathematics," Vol. 92, Springer-Verlag, New York/Berlin, 1984.
7. [H] J. Holub, Pre-frame operators, Besselian frames and near Riesz bases, Proc. Amer. Math. Soc. 122 (1994) 779-785.
8. [He] C. Heil, Wavelets and frames, in "Signal Processing," Part 1, pp. 147-160, IMA Math. Appl., Vol. 22, Springer-Verlag, New York/Berlin, 1990.
9. 2(-π π), J. Funct. Anal. 130 (1995), 131-160.