3 problems
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The separable normal dilation conjecture for von Neumann algebra maps
Separable normal dilation conjecture. The dilation space can be chosen to be separable, and the dilation homomorphism can be chosen to be ultraweakly continuous.
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The complete boundedness conjecture for the motivating framing example
Complete boundedness conjecture. The example was conjectured to fail to induce a completely bounded operator-valued measure.
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The Casazza–Han–Larson framing conjecture on complete boundedness
Casazza–Han–Larson framing conjecture. This framing should fail to induce a completely bounded operator-valued measure.