Sentence examples for unitary groups from inspiring English sources

Marx insisted on excessively large, unitary groups, like the proletariat, and then, even worse, claimed that under an ideal form of government they would disappear.

This article concerns the exact controllability of unitary groups on Hilbert spaces with unbounded control operator.

It can be shown that all Banach spaces and unitary groups of Hilbert spaces are all noncommutative Banach spaces.

The various internal symmetries are invariances under phase transformations of the quantum states and are described in terms of the unitary groups SU N).

Its description substantially uses the theory of invariant measures over infinite-dimensional unitary groups developed by Neretin [2] and Olshanski [3].

Also, using Gong and Dadarlatʼs classification theorem, we prove that such C⁎-algebras are isomorphic if and only if their unitary groups are isomorphic as topological groups.

The name of the mathematical symmetry is SU 3), which stands for "special unitary group in three dimensions".

Moreover, by U ( A ) we denote the unitary group of A. Lemma 4.1 [7].

Throughout this paper, let be a unital -algebra with unitary group, unit and norm.

Smoothness of numerous adjoint and coadjoint orbits of the restricted unitary group is also established.

Consider an abstract Hamiltonian system which is invariant under a one-parameter unitary group of operators.