Sentence examples for under this norm from inspiring English sources

Under this norm, Y is a Banach space.

These classes will be Banach spaces under this norm.

Moreover, the Cauchy estimate of analytic functions is also valid under this norm.

The completion of the space under this norm will be denoted as (hat {M}_{G}^{p}(0,T)).

This norm is equivalent to the standard norm on (W^{1,2}(mathbb{R}^{3})) under assumption (H1).

But when (||P-Q||<1), this space is trivial, so under the norm condition, W might be (and as we'll see is) invertible.

It is regrettable that religions are used for political purposes and sow discord between men". This story is important not because it is the exception, but because it is the under-reported norm.

Therefore, is a contraction mapping under the norm.

forms a Banach space under the norm (2.1).

Now we prove the continuity of under the norm.

then is a class of norms of,, and are Banach space under the norm.