Sentence examples for given the characterization from inspiring English sources

Fortunately, we have proven the continuity of the resolvent in the uniform operator topology and given the characterization of compactness for resolvents in the case of an analytic resolvent.

Second, the framework may be employed to evaluate whether or not existing policy instruments to promote physical activity are really appropriate given the characterization of PI as a policy problem.

We give the characterization of BMO-Lorentz martingale spaces.

We first give the characterization for weighted translations to be topologically transitive.

By the construction of a pseudo-gradient (widetilde{W}_{2}), we will give the characterization of the critical points at infinity in (V(1,varepsilon)).

Next, we give the characterization of the critical points at infinity in V ( p, ε ), p ≥ 2. We have the following main result.

Along this way, Zhu et al. [14] gave the characterization of the unicyclic graphs with nullity (n(G)- 6) and (n(G)- 7).

Xiao [6] gave the characterization of ψ for which (H_{psi}) is bounded on either (L^{p}(mathbb{R}^{n})), (1leq pleqinfty), or (operatorname{BMO}(mathbb{R}^{n})).

Consequently an attempt at giving the characterization of the global asymptotic behavior of solutions of Eq. (1) seems to be a formidable task at this time.

Building on these foundations, we study the compactness of the sum of certain class of weighted composition operators on the unit ball algebra, and give the characterization of compact differences of two weighted composition operators on the ball algebra.

In this paper, we investigate the compactness of the sum of weighted composition operators on the unit ball algebra, and give the characterization of compact differences of two weighted composition operators on the ball algebra.