Sentence examples for be the corresponding semigroup from inspiring English sources

Let (Tt) be the corresponding semigroup of composition operators on the classical Hardy space Hp.

Let (bar{S}) be the resulting semigroup, and (psi :tilde{S}( MM _4 rightarrow bar{S}) be the corresponding homomorphism.

In particular, when the solid is a ball in R3, the corresponding semigroup is analytic on L2(R3)∩Lp(R3)(p⩾6).

This is done by proving that the corresponding semigroup differences are Hilbert-Schmidt or trace class, respectively.

The C∗-algebra C∗(G) is shown to be generated by one unbounded affiliated element whose image under each non-degenerate representation is the infinitesimal generator of the corresponding semigroup.

(a)The corresponding semigroup is exponentially stable.

High-order eigenvalues as well as the corresponding semigroup are estimated by using this new inequality.

For the general three-dimensional case, we prove that the corresponding semigroup is analytic on L65 R3)∩Lp(R3)(p⩾2).

Our main result is to establish the exponential stability of the corresponding semigroup and the lack of exponential stability of the corresponding semigroup.

If the operator A = θ, the corresponding semigroup T ( t ) = I is equicontinuous on [ 0, b ].

Assume the hypotheses of Theorem  8, then the corresponding semigroup (S t)) of problem (28 - 33) is asymptotically compact in the space (mathbb{H}_{0}).