Sentence examples for minimal dilation of from inspiring English sources

This also answers the same question for the minimal dilation of the Powers sum of two spatial CP-semigroups: It is independent up to cocycle conjugacy.

We prove that the minimal dilations of all such semigroups are completely spatial, and additionally, we prove that the minimal dilation of the heat flow is cocyle conjugate to the CAR/CCR flow of index two.

In cases where M is a von Neumann algebra, the asymptotic lift is shown to be a W∗-dynamical system (N,Z), and we identify (N,Z) as the tail flow of the minimal dilation of L. We are also able to identify the Poisson boundary of L as the fixed algebra Nα.

Ancillary signs of APN, both at CT and MR scans, are: kidney swelling, perinephric inflammatory fluid and stranding of the perinephric fat and occasionally a minimal dilation of the urinary tract [ 28].

We study isometric representations of product systems of correspondences over the semigroup Nk which are minimal dilations of finite-dimensional, fully coisometric representations.

With the help of framing induced OVMs, we prove that conventional minimal dilation space of a non-trivial framing contains c0, then does not have bounded p-variation.

If α is a minimal dilation E0-semigroup of φ with Arveson product system F, then Eφ is canonically isomorphic to F. We apply this construction to a class of semigroups of B(L2(R)) arising from a modified Weyl Moyal quantization of convolution semigroups of Borel probability measures on R2.

To establish the absolute continuity of spectral shift, we use the Sz.-Nagy theorem on the absolute continuity of the spectral measure of the minimal unitary dilation of a completely nonunitary contraction.

The building blocks are described as the minimal ∗-dilations of defect free representations modelled on finite groups of rank 2.

Key points included minimal manipulations with the grafts ("no-touch" technique) and prevention of extensive dilation of the conduits.

The dilation of the nose.