We recall that is said to have uniform normal structure (UNS) (resp., weak uniform normal structure ( -UNS)) if (resp., ).
While keeping the sample holder stably hot, a weak uniform dc/ac field was applied to the MF sample.
Finally, a "burnout" phase was observed, with very weak uniform emission and near-zero heat-release rate (HRR).
Notice that this is not the common definition of weak uniform normal structure and is often known as Bynum's condition.
On the other hand, if (in particular, if is NUC), then is reflexive and has weak uniform normal structure (see [13, page 125]).
Let (C_{w}(T,E)) denote the space of all weakly continuous functions from T into (E_{w}) endowed with the topology of weak uniform convergence.
In 2004, Zeng [6] proved that if X is uniformly convex in every direction and has weak uniform normal structure then every mapping of asymptotically nonexpansive type has a fixed point.
Also, there is some ambiguity regarding the use of the space (C T,E)) of all continuous functions from T into E with its weak topology (sigma(C T,E ,C T,E)^{ast})) and the space (C_{w}(T,E)) of all weakly continuous functions from T into (E_{w}) endowed with the topology of weak uniform convergence.
It is proved in [15] that ℓ M (w), endowed with Luxemburg's or Amemiya's norm, has weak uniform normal structure iff M ∈ Δ2 at zero, when weight sequence verifies the condition w = { w n } n = 1 ∞ ∈ Λ Open image in new window.
Thus, the stingray HYO may have subsumed the detection of weak uniform fields in the horizontal plane that is possibly served by the SOp in these sharks.
