Sentence examples for operators in the case from inspiring English sources

The proposals provide for compensation to fishermen and operators in the case of a sudden closure of UK waters to EU boats.

We give a complete description of all derivations on the above algebras of operators in the case of type I von Neumann algebra M. In particular, we prove that if M is of type I∞ then every derivation on LS M) (resp. S(M) and S M,τ)) is inner.

Recently, Gupta and Wang [3] proposed certain q-Durrmeyer operators in the case of real variables.

In the following lemma, Tanahashi, Jeon, Kim, and Uchiyama extended the result (1.3) to -quasiclass A operators in the case.

In this paper, we establish some existence results of φ-fixed points for various classes of operators in the case, where X is endowed with a metric d.

Remark 2 Recently, it is much more interesting to study these operators in the case q > 1. Authors continue to study that case.

It is proven that the Euler characteristic of the graph can be calculated from the spectrum of the Schrödinger operator in the case of essentially bounded real potentials and standard boundary conditions at the vertices.

Fortunately, we can prove the continuity of a resolvent in the uniform operator topology and the compactness of the solution operator in the case of an analytic resolvent.

By Theorem 6.1 in [12], each self-adjoint subspace extension (H_{1}) of (H_{0}) is a self-adjoint operator in the case that (I= -infty, +I= -inftythat is, (H_{1}) can define a single-valued self-adjoint operator in (l_{w}^{2}(-infty,+infty)) whose graph is (H_{1}).

which says that for integral values, the Σi = 1…N/22 and [Σi = 1…N/2]2 are interchangeable operators in this case, and the integral of square of sum of MOs yields the number of electrons, N, also.

The boundedness of operators obtained in the case of the domain BD I (q = 2) is proven, as a major step towards the development of a symbolic calculus of operators on the light cone.