Furthermore, | W ˜ 2 | is bounded and the only case where λ is not bounded is where a ∈ B ( y, ρ ), y ∈ K +.
end{aligned} Furthermore (| widetilde{W}_{2}|) is bounded and the only case where (lambda_{1}) is not bounded is where (a_{1} in B y,rho)), (y inmathcal{K}^).
Furthermore, | W ˜ 1 | is bounded and the only case where the maximum of the λ i 's is not bounded is when a i ∈ B ( y l i, ρ ) ∀ i = 1, …, p with ( y l 1, …, y l p ) ∈ C n − 2 +.
Furthermore, we have | W 2 | is bounded and the only case where the maximum of λ i 's is not bounded is when a i ∈ B ( y l i, ρ ) ∀ i = 1, …, p with ( y l 1, …, y l p ) ∈ C n − 2 +.
Finally we give sufficient conditions of optimality for problems in the bounded and unbounded cases adapting for each case the approprate transversality condition.
For a polynomial symbol φ of degree greater than one we show that the operator is mean ergodic if and only if it is power bounded and this is the case when φ has even degree and lacks fixed points.
This, together with ((H_{7})), means that (Omega_{1}) is bounded in the case (p>2) and, similarly, for (1 < p leq2).
After using the same axis intervals, we can see that the error values are much less and are well bounded in the case of CRPF as compared to that of LS. Figure 8 Localization errors for LS and CRPF solutions, as well as their confidence intervals.
{ g y n } is bounded in the case ( f, S ) satisfies the (E.A -property, { f y n } is boundE.A -propertye ( g, T ) satisfies (E.A)-property.
