Sentence examples for are not normed from inspiring English sources

There are many convex metric spaces which are not normed linear spaces (see [5, 6]).

If (p>1), then (L_{p,phi}(beta_{1},infty)) and (l_{q,psi}) are normed spaces; if (0< p<1) or (p<0), then both (L_{p,phi }(beta_{1},infty)) and (l_{q,psi}) are not normed spaces, but we still use the formal symbols in the following.

On the other case, our presented fixed point theorems for mappings under contractive conditions expressed in the terms of w-distance can be applied, although the underlying cone is not normed.

Thus all hypotheses of our Theorem 9 are satisfied and z = 0 is a fixed point of T. Note that the mapping T : X → X satisfies the condition (2.1) in the main Theorem 2.2 of Wang and Guo[14]with g(x) = x and a1 = 1/ 2, a2 = a3 = a4 = 0, but Theorem 2.2 cannot be applied since a cone P is not normed.

They proved a common fixed point theorem (Theorem 2.2) by using c-distance in a cone metric space (X, d), where a cone P is normal with normal constant K. Now we shall present an example (Example 7 below), which shows that there are cone metric spaces where underlying cone is not normed, and so theorems of Wang and Guo[14]cannot be applied.

As the BPVS is not normed for adults, it is not possible to identify whether impairments were beyond or in-line with intellectual function.

Furthermore, a non-epilepsy control group would be a useful addition to future research, particularly with regards to measures that are not age-normed into adulthood (e.g. CAVLT, BPVS), to provide an indication of whether post-surgical improvements are in line with normal developmental trajectories or are accelerated post-surgically.

Also, we give an example to show that some results in the stability of functional equations in (Archimedean) normed spaces are not valid in non-Archimedean normed spaces.

But there are some examples of convex metric spaces which are not embedded in any normed space (see [1]).

The main difficulty encountered comes from the fact that we are not working on a classical normed vector space.

The following is an example of a hyperbolic space that is not a normed space.