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- W2466180625 abstract "LetT = {T(t)}t ≥ 0be aC0-semigroup on a Banach spaceX, with generatorAand growth bound ω. Assume thatx0 ∈ Xis such that the local resolvent λ ↦ R(λ, A)x0admits a bounded holomorphic extension to the right half-plane {Re λ > 0}. We prove the following results: (i) Ifhas Fourier type ∈ (1, 2], then lim ‖()(λ − )‖ = 0 for all β > 1/and λ > ω. (ii) Ifhas the analytic RNP, then lim ‖()(λ − )‖ = 0 for all β > 1 and λ > ω. (iii) Ifis arbitrary, then weak-lim ()(λ − ) = 0 for all β > 1 and λ > ω." @default.
- W2466180625 created "2016-07-22" @default.
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- W2466180625 date "1999-03-01" @default.
- W2466180625 modified "2023-09-27" @default.
- W2466180625 title "B-Convexity, the Analytic Radon–Nikodym Property, and Individual Stability ofC0-Semigroups" @default.
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- W2466180625 doi "https://doi.org/10.1006/jmaa.1998.6211" @default.
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