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Exact(17)
Let be a sectorial operator on (for that, in assumption (H.1), replace with ) and let.
Let A be a sectorial operator of type ((M,theta,q,mu)).
Let A be a sectorial operator of type (M, θ, μ).
Let A be a sectorial operator in a Hilbert space ℋ.
Lemma 2.4 Let L: X1 → X be a sectorial operator which generates an analytic semigroup T t) = e tL.
Let (L: H_{1}to H) be a sectorial operator which generates an analytic semigroup (T t)=e^{tL}).
Similar(43)
Assume that is a sectorial operator of type and is a solution operator generated by.
According to [16], A is a homeomorphism, then it is a sectorial operator.
It is well known that is a sectorial operator for some, and.
Assume that is a sectorial operator of type, is a solution operator generated by, and the Hypotheses are satisfied.
So, L λ = − A + λ B : H 1 → H. is a sectorial operator, and also a linear completely continuous field.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com