English

Concrete constructions of non-pavable projections

Functional Analysis 2010-05-13 v1

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/r1/r which are not rr-pavable in a very strong sense.

Cite

@article{arxiv.1005.2164,
  title  = {Concrete constructions of non-pavable projections},
  author = {Peter G. Casazza and Matt Fickus and Dustin Mixon and Janet C. Tremain},
  journal= {arXiv preprint arXiv:1005.2164},
  year   = {2010}
}
R2 v1 2026-06-21T15:22:07.031Z