Sentence examples for equivalent norm from inspiring English sources

Theorem 1.1 (equivalent norm).

X has an equivalent norm which is q-uniformly convex.

Then, has an equivalent norm which satisfies the w-FPP.

In fact, the following more precise result holds [[1], p.9]. Theorem 1 (Equivalent norm).

In this paper we use the following equivalent norm on : (2.6).

that is, W ε is an equivalent norm of the solution in H.

Note that (langle Ly, yrangle^{1/2}) is an equivalent norm on (H^).

Note that (|cdot|) is an equivalent norm on (H^{1}(mathrm{R}^{3})).

Then, there is an equivalent norm on such that the dual norm on is UKK*.

then X has an equivalent norm which is p-uniformly smooth.

Since is exponentially stable, we define an equivalent norm in by (2.12).