This is an announcement for the paper "Unconditionality of orthogonal spline systems in $L^p$" by Markus Passenbrunner.

Abstract: Given any natural number $k$ and any dense point sequence $(t_n)$, we prove that the corresponding orthonormal spline system is an unconditional basis in reflexive $L^p$.

Archive classification: math.FA

Remarks: 33 pages

Submitted from: markus.passenbrunner@jku.at

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1308.5055

or

http://arXiv.org/abs/1308.5055