Being alarmed at such a spectacle, of course, is normal, but only if you're not a gun toter, who actually believes that a complete stranger can somehow divide between him (the good guy) and a mass murderer (the bad guy), though they look identical.
If (linLambda_{omega}^{p} (mathcal{M})^), then l is called normal if (x_{alpha}downarrow0) holds in (Lambda_{omega}^{p} (mathcal{M})) implies (l(x_{alpha})rightarrow0). If (linmathcal{M}^) then, by Theorem 5.11 of [22], l is normal if and only if l is ultra-weak topology on ℳ.
The operator is normal, if and only if for each.
(i For any and we have (2.2). (ii) The operator is normal, if and only if for each. .
For example the normaloid property is invariant under tensor products, the spectraloid property is not (see [[15], pp.623 and 631]); and T ⊗ S is normal if and only if T and S are normal [16, 17]; however, there exist paranormal operators T ∈ B ( H ) and S ∈ B ( K ) such that T ⊗ S is not paranormal [18].
Then (X τ) is normal if and only if for every two L-closed subsets P and Q in (X τ) such that P does not quasi-coincide with Q, there exists open subsets U and V in (X τ) such that P ≤ U Q ≤ V and U does not quasi-coincide with V[7].
A non-normal connected Cayley graph with valency 2 of a finite abelian group is normal edge transitive if and only if o(G) = 4k.
Then Γ is normal edge transitive if and only if A u t(G,S) is transitive on S, and if Γ is undirected, then Γ is normal edge transitive as an undirected graph if and only if A u t(G,S) is either transitive on S or has two orbits in S which are inverses of each other.
Then is normal in if and only if the spherical derivatives of functions are uniformly bounded on each compact subset of.
"Watching the children smile and be normal if only for an afternoon brings a realization that we did something better for the world," Jenkins said.
It is well known that ℱ is normal in a domain D if and only if it is normal at each of its points.
