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arxiv: 1005.2164 · v1 · submitted 2010-05-12 · 🧮 math.FA

Concrete constructions of non-pavable projections

classification 🧮 math.FA
keywords projectionsconcreteconstantdiagonalpavingproofsconjectureconstructions
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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.

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