Isometrically

A surjective isometry between the normed vector spaces V and W is called an isometric isomorphism, and V and W are called isometrically isomorphic.

Basic notions Every normed space X can be isometrically embedded in a Banach space.

For example, when a patient is flexing his or her elbow isometrically against a resistance.

From the point of view of inner product space theory, there is no need to distinguish between two spaces which are isometrically isomorphic.

Furthermore, this space J is isometrically isomorphic to its bidual.

Isometrically isomorphic normed vector spaces are identical for all practical purposes.

That skull size would be from a 8 meters long animal, basing its size and proportions scaling isometrically from specimen Kelsey, which measured 6,7 meters long with a 2,1 meters skull.

The tensor product is identified isometrically with the closure in B(X) of the set of finite rank operators.