2 problems
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Sufficiency of weak Hilbert-transform estimates in the absolutely continuous case
Absolutely continuous sufficiency conjecture. Under these assumptions, the conditions and are sufficient for to be similar to a selfadjoint operator.
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Sufficiency of Hilbert-transform estimates for similarity to a selfadjoint operator
Hilbert-transform sufficiency conjecture. The estimates and should be sufficient for to be similar to a selfadjoint operator. Consequently, the similarity problem would reduce…