A note on block sequences in Hilbert space

S. K. Kaushik
2008 Glasnik Matematicki - Serija III  
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
more » ... er to this problem gives an affirmative answer to the Feichtinger Conjecture. 2000 Mathematics Subject Classification. 42C15, 42A38.
doi:10.3336/gm.43.2.11 fatcat:66ohjmpjdfc6fiaklze2yualtm