Unconditional structures of translates for Lp(d) Academic Article uri icon

abstract

  • 2014, Hebrew University of Jerusalem. We prove that a sequence (fi)i=1 of translates of a fixed f Lp() cannot be an unconditional basis of Lp() for any 1 p < . In contrast to this, for every 2 < p < , d and unbounded sequence (n)n d we establish the existence of a function f Lp(d) and sequence (gn*)n Lp*(d) such that (Formula Presented) forms an unconditional Schauder frame for Lp(d). In particular, there exists a Schauder frame of integer translates for Lp() if (and only if) 2 < p < .

published proceedings

  • Israel Journal of Mathematics

author list (cited authors)

  • Freeman, D., Odell, E., Schlumprecht, T. h., & Zsk, A.

citation count

  • 12

complete list of authors

  • Freeman, D||Odell, E||Schlumprecht, Th||Zs├ík, A

publication date

  • January 2014