• Corpus ID: 117072641

CONCRETE CONSTRUCTIONS OF NON-PAVABLE PROJECTIONS

@article{Casazza2009CONCRETECO,
  title={CONCRETE CONSTRUCTIONS OF NON-PAVABLE PROJECTIONS},
  author={Peter G. Casazza and Matthew C. Fickus and Dustin G. Mixon and Janet C. Tremain},
  journal={arXiv: Functional Analysis},
  year={2009}
}
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. 
1 Citations
Algorithmic constructions of unitary matrices and tight frames
TLDR
A number of algorithms for constructing unitary matrices and tight frames with specialized properties, including the Kadison-Singer Problem and equiangular tight frames are given.

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