Sentence examples for uniform norm from inspiring English sources

The last one is a Banach space with the uniform norm (written ∥ ⋅ ∥ ∞ ).

Let (C_{b} (U_{tau}(infty) )) be endowed with the uniform norm.

We denote with the uniform norm on, that is, for, where is a given norm on.

generates a semigroup on the space of continuous functions endowed with the uniform norm.

Furthermore a result of asymptotic behavior in uniform norm is given using Benssoussan-Lions' algorithm.

We have obtained a new error estimate in uniform norm which is optimal for these problems.

In linear algebra theory, this infinity norm is a special case of the uniform norm.

Furthermore, since, from the uniform norm-to-norm continuity of on bounded subsets of, we obtain (3.41).

By the uniform norm-to-norm continuity of on each bounded set, we can conclude assertion from (3.16).

This is done both when the group is endowed with the topology of pointwise norm-convergence and the topology of uniform norm-convergence.

Let ({f_{j}}) be a uniform norm-bounded maximizing sequence for N, and assume that (f_{j}rightarrow fneq0) and that (A(f_{j} rightarrow A(f)) pointwise almost everywhere.