  In a previous paper by the authors the existence of Haar projections with
growing norms in Sobolev-Triebel-Lizorkin spaces has been shown via a
probabilistic argument. This existence was sufficient to determine the precise
range of Triebel-Lizorkin spaces for which the Haar system is an unconditional
basis. The aim of the present paper is to give simple deterministic examples of
Haar projections that show this growth behavior in the respective range of
parameters.
