Sentence examples for positive operator from inspiring English sources

(2.1) Moreover, this map preserves positivity when the multiplier is a positive operator.

The resulting integral is a positive operator since each (A_{t}) is positive and each (Phi_{t}) preserves positivity.

We present some relationships between the order and ring ideals generated by a positive operator.

If a quasinilpotent positive operator S dominates a non-zero compact operator K (i.e., |Kx| ≤ S |x| for each x), then every positive operator that commutes with S, in particular S itself, has a non-trivial closed invariant ideal.

We discuss singular perturbations of a self-adjoint positive operator A in Hilbert space H formally given by AT=A+T, where T is a singular positive operator (singularity means that Ker T is dense in H).

In a filtered measure space, a characterization of weights for which the trace inequality of a positive operator holds is given by the use of discrete Wolffʼs potential.

A nonlocal continuous unitary transformation is explicitly constructed and the associated positive operator-valued measures for the photons and atom are obtained.

Thus we found that L is (varphi^ -positive operator.

The author studied the existence of solutions for (1.3) by using a (u_{0} -positive operator.

Hence, we see that T is a (varphi_{1} -positive operator.

Furthermore, T is a (u_{0} -positive operator, and (u_{0} -positive ^{ast}(t)).