Concrete constructions of non-pavable projections

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

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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