Sentence examples for uniform operator from inspiring English sources
It follows the continuity of in the uniform operator topology for that tends to 0, as.
The space of bounded linear operators from to is endowed with the usual uniform operator topology.
A -semigroup is called norm-continuous for if is continuous in the uniform operator topology for.
For t > 0, S q ( t ) and T q ( t ) are continuous in the uniform operator topology.
For (t > 0), (mathcal{S}_{q}(t)) and (mathcal{T}_{q}(t)) are continuous in the uniform operator topology.
The main difficulty is that the resolvent does not have the semigroup property, even the continuity in the uniform operator topology.
The operator (K cdot, s)) is continuous in the uniform operator topology for all (s inmathbf{R}_) and (overline{k}=|K t, s)| _{mathcal{L}(X)}<infty).
The notation stands for the space of bounded linear operators from into endowed with the uniform operator topology, and we abbreviate it to whenever.
end{aligned} Since (T_{q}(t)) is continuous in the uniform operator topology for (t>0), we have lim_{t_{2}rightarrow t_{1}}I_{22}=0.
The main difficulty is the resolvent does not have the property of semigroups, even the continuity in the uniform operator topology.
The right-hand side of (3.24) tends to as as a consequence of the continuity of in the uniform operator topology for by the compactness of.
