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math.FA2010
The Bourgain-Tzafriri conjecture and concrete constructions of non-pavable projections
Peter G. Casazza, Matthew Fickus, Dustin G. Mixon +1
It is known that the Kadison-Singer Problem (KS) and the Paving Conjecture (PC) are equivalent to the Bourgain-Tzafriri Conjecture (BT). Also, it is known that (PC) fails for -p…
math.FA2010★ 1 cited
Concrete constructions of non-pavable projections
Peter G. Casazza, Matt Fickus, Dustin Mixon +1
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 o…