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- W4313441766 abstract "Let X be a Banach space and 𝒢 0(X) denote the class of infinitesimal generators of C 0-semigroups of bounded linear operators T(t), t ≥ 0, in X, so that there exists numbers M ≥ 1 and ω ∈ IR satisfying ||T(t)||𝓛(X) ≤ Me ωt , t ≥ 0. The Hille-Yosida theorem states, see [1,7], that A ∈ 𝒢0 (X) if and only if A is closed densely defined with a nonempty resolvent set ρ(A) satisfying the (Hille–Yosida) inequality 1.1 https://www.w3.org/1998/Math/MathML> | | R n ( λ , A ) | | ™ ( X ) ≤ M ( λ − ω ) n , λ ∈ ρ ( A ) , n ∈ IN https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315136875/830244eb-a104-4522-947a-d647e61da703/content/f0197-01.tif xmlns:xlink=https://www.w3.org/1999/xlink/>" @default.
- W4313441766 created "2023-01-06" @default.
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- W4313441766 date "2023-01-03" @default.
- W4313441766 modified "2023-10-18" @default.
- W4313441766 title "Linear Systems Governed by Operators Beyond Hille-Yosida Semigroups" @default.
- W4313441766 doi "https://doi.org/10.1201/9781315136875-22" @default.
- W4313441766 hasPublicationYear "2023" @default.
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