Sentence examples for closed operator from inspiring English sources

Let [a, b] be a bounded closed interval in ({mathbb {R}}) and B a closed operator with (D(H) subset D(B)) so that for all (varphi in D(H)) and (lambda in [a,b]), we have that begin{aligned} text {Re} langle (H-lambda )varphi,Avarphi rangle ge ||Bvarphi ||^2 end{aligned} (14.21)Then B is H-smooth on [a, b]. 1.

Let be a linear and closed operator with domain defined on.

Let us assume that and is a family linear closed operator defined in a Banach space.

For each and is a linear closed operator in whose domain is ; acts boundedly from to ; is strongly continuously differentiable.

(ii) For each and is a linear closed operator in whose domain is ; acts boundedly from to ; is strongly continuously differentiable.

To the best of the authors' knowledge, however, few work has been reported on the existence of solutions for fractional differential inclusions with nonlocal conditions governed by a linear closed operator that generates an equicontinuous semigroup.

for some M > 1, δ > 0. Let B ( t ) be closed operators.

(1.2). where,,, are the linear closed operators in ; are the linear operators from to ; are the linear operators from to ; are the linear operators from to ;,,,.

In the following let S be a densely defined closed symmetric operator in (mathfrak {H}).

Let (Amathcal{D}(A){subset} H{rightarrow } H) be a densely defined, closed linear operator.

The rail line between Great Malvern and Ledbury is completely closed, train operator London Midland said, and passengers should "try to avoid travelling to Hereford at all".