Glasnik matematički, Vol. 43 No. 2, 2008.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.43.2.11
A note on block sequences in Hilbert space
S. K. Kaushik
orcid.org/0000-0002-2850-0432
; Department of Mathematics, Kirori Mal College, University of Delhi, Delhi 110 007, India
Ghanshyam Singh
; Department of Mathematics and Statistics, University College of Science, M.L.S. University, Udaipur (Rajasthan), India
Virender
; Department of Mathematics and Statistics, University College of Science, M.L.S. University, Udaipur (Rajasthan), India
Sažetak
Block sequences with respect to frames in Hilbert spaces have been defined. Examples have been provided to show that a block sequence with respect to a given frame may not even be a Bessel sequence. Also, a necessary and sufficient condition under which a block sequence with respect to a frame is a frame has been given. Further, applications of block sequences to obtain Fusion frames and Fusion frame systems have been given. Finally, a problem has been posed and observed that an affirmative answer to this problem gives an affirmative answer to the Feichtinger Conjecture.
Ključne riječi
Frame; Bessel sequence; block sequence
Hrčak ID:
28903
URI
Datum izdavanja:
10.11.2008.
Posjeta: 1.349 *