Sentence examples for is a normed from inspiring English sources

Suppose V is a normed space with norm (| cdot|) and (X_{rho}) satisfies (Delta_{2} -condition.

The abstract phase space, which is a subfamily of all functions from into denoted by, is a normed space (with norm denoted by ) and satisfies the following axioms.

Since a Minkowski space is a normed space, the given norm defines a usual metric in such a space.

If is a normed linear space with norm, then both and defined by (2.2). are -distances on.

In fact, it is easy to see that X is a normed linear space with the norm (|cdot|).

and X 0 is a normed linear space with the norm ∥ u ∥ 0 = sup t ∈ ( 0, 1 ] | t 2 − α u ( t ) |, u ∈ X 0, respectively.

It is a routine verification to show that (M phi)) is a normed space with the given norm (2.1), and so we omit it.

Then, is a normed space endowed with the sup-norm defined by.

is a normed linear space with the maximum norm and partially ordered by the cone. is a normal cone in.

If X is a normed space, β(X*, X) is (equivalent to) the norm topology in X* on the strength of [5, 6].

Suppose × is a normed space and f is continuous.