Remark that L w 1 ( ν 1 ) is then p-convex with p-convexity constant equal to 1 and, consequently, the space L w 1 / p ( ν 1 ) is a B.f.s., that is, its quasi-norm is actually a norm (see [[13], Proposition 6]).
Proposition 3.2 shows that the equivalence class of the t-norm T D contains a t-norm which is different from T D. Proposition 3.2 Let the t-norm T D be on [ 0, 1 ].
The estimates of their norm are a consequence of Proposition 4.4.
For instance, the sequence K n = K n ( 1 ) for all n ≥ 0 satisfies the above condition (ii) and, according to Proposition 3.1, the norm of the state will converge to zero as shown in Figure 6. Figure 6 Evolution of the norm of x n.
This flips the norm established more than 35 years ago with Proposition 13, the landmark property tax limit, when the state became the school funding distributor as well as decider, largely dictating how locals could use the dollars.
Then, there holds the following norm equivalence, see e.g. [27, Proposition 4.5].
To compare the two channel norm feedback strategies, we first present a proposition, which shows the approximate relation between the average global norm and the average per‐cell norm.
The localization of the H 1 / 2 - norm for the data approximation, cf. Proposition 2, is currently under consideration [38].
Let us note also that if the space Y in Proposition 10.1 is a normal solid normed space with norm ∥ ⋅ ∥, then one can choose in (F4) just this norm (see [20]).
With (varphi(t) = 1 - t ) and the t-norm T being of H-type (see Proposition 1.7) we obtain a result from [25].
Since the space R 2 endowed with a normal norm is a generalized Day-James space by Proposition 1, we have the result of Alonso as a corollary.
