Sentence examples for Every unitary from inspiring English sources

We show that every unitary representation π of a connected Lie group G is characterized up to quasi-equivalence by its complete moment set.

The following lemma has been shown in [16], and it is considered as a refined matrix Young inequality for every unitary invariant norm.

Through the following, we would like to obtain upper bound for (vert !vert !vert AXB^ vert !vert !vert ), for every unitary invariant norm.

The joint spectrum of L1,…,Ln in every unitary representation of G is characterized as the set of the eigenvalues corresponding to a particular class of (generalized) joint eigenfunctions of positive type of L1,…,Ln.

If L is of trace class, then for every unitary basis ({ u_i }) of (mathcal {V}) the trace begin{aligned} mathrm {Tr},L := sum langle u_i,, L, u _irangle end{aligned}converges absolutely.

We provide a new criterion for a generating subset Q of a group G to be a Kazhdan set; it relies on the existence of a positive number ε such that every unitary representation of G with a (Q,ε -invariant vector has a finite dimensional subrepresentation.

A group is said to an [AU]-group if the von Neumann algebra generated by every continuous unitary representation of is atomic (i.e., every nonzero projection in the van Neumann algebra majorizes a nonzero minimal projection).

In fact, every irreducible unitary representation of (mathbb {R}^{n}) reads ((mathbb {C}, T_{p})) where p is a vector.

This pair of features automates the first stage of verification of the model's mathematical implementation by making sure that every equation has unitary balance.

In Europe, almost every democratic government is "unitary," which is to say the executive is the creature of the elected legislature.

In Scotland, every seat on 32 unitary authorities was up for election.