[Banach] Abstract of a paper by Peter G. Casazza, Matt Fickus, Dustin Mixon and Janet C. Tremain

This is an announcement for the paper "Concrete constructions of non-pavable projections" by Peter G. Casazza, Matt Fickus, Dustin Mixon and Janet C. Tremain.

Abstract: It is known that the paving conjecture fails for $2$-paving projections with constant diagonal $1/2$. But the proofs of this fact are existence proofs. We will give concrete examples of these projections and projections with constant diagonal $1/r$ which are not $r$-pavable in a very strong sense.

Archive classification: math.FA

Mathematics Subject Classification: 42C15, 46C05, 46C07

Submitted from: pete@math.missouri.edu

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

http://front.math.ucdavis.edu/1005.2164

or

http://arXiv.org/abs/1005.2164