Sentence examples for essential norm from inspiring English sources

The products of differentiation and composition operators D C φ and C φ D m are defined, respectively, as follows: D C φ f ( z ) = f ′ ( φ ( z ) ) φ ′ ( z ), C φ D m f = f ( m ) ∘ φ, f ∈ H ( D ), m ∈ N. The essential norm of a continuous linear operator T between two normed linear spaces X and Y is its distance from the compact operators.

Now we give the upper estimate for the essential norm.

This paper gives an estimate of the essential norm of.

We also show that if the symbol φ is univalent, then the essential norm of Cφ is comparable to its essential norm on the Bloch space.

Fortunately, Shapiro [5] developed relations between the essential norm of on and the Nevanlinna counting function of, and he obtained a nice essential norm formula of in 1987.

Estimates for the norm and the essential norm of the operator are also given.

An estimate for the essential norm of C φ D m is given.

Moreover, an estimate for the essential norm of C φ D m will be given.

In fact, in the minds of some priests, the impression was created that the Dallas Charter and the Essential Norms were the bishops' attempt to deflect criticism from themselves and onto individual priests.

To make the Charter for the Protection of Children and Young People binding on all the church's dioceses, however, the bishops had to pass a document called Essential Norms for Diocesan/Eparchial Policies Dealing with Allegation of Sexual Abuse of Minors by Priests or Deacons and submit it to the Vatican for approval.

Yet as the bishops meet on Monday in Washington to discuss and vote on the revised essential norms that emerged from their talks with the Vatican, they have to cope with widespread suspicions that the revisions have significantly undermined the charter.