Double Dilation ≠ Double Mixing (extended abstract)

A double dilation constructed from a double product of rotations

Motivated by discrete approximations similar to those which originally [2] led to the construction of the time orthogonal unitary dilation [3], we construct explicitly a family W = { W b,s a,t , 0 < a < b, 0 < s < t } of continuous double products of infinitesimal rotations in the Hilbert space L2(R+)⊕ L2(R+). Each W b,s a,t is a unitary operator acting nontrivially only on the subspace L2(]a, ...

Extended Abstract

Extended Abstract

Extended Abstract

Extended Abstract